List of Publications

Olof J. Staffans

New Manuscripts

Theses

  1. O. J. Staffans, Tauberian Theorems for Positive Definite Measures, with Applications to a Volterra Equation, a thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Mathematics), University of Wisconsin-Madison, 1975, 82+4 pages.
  2. O. J. Staffans, Lp(0,infinity)-Solutions of a Linear Volterra Integrodifferential Equation, a thesis submitted in partial fulfillment of the requirements for the degree of Licentiate of Technology, Helsinki University of Technology, Department of Technical Physics, 1973, 65+3 pages.
  3. O. J. Staffans, Ett linjärt programmeringssystem (A Linear Programming System), a thesis submitted in partial fulfillment of the requirements for the degree of Master of Science, Helsinki University of Technology, Department of Technical Physics, 1972.

Monographs

  1. D. Z. Arov and O. J. Staffans, Linear State/Signal Systems, Cambridge University Press, Cambridge, 2022, 1080 pages. The history of this book. Old preliminary versions. Final version.
  2. O. J. Staffans, Well-Posed Linear Systems, Cambridge University Press, Cambridge, 2005, 794 pages. The history of this book. List of contents in pdf-form. Introduction in pdf-form. Index in pdf-form.
  3. G. Gripenberg, S.-O. Londen and O. J. Staffans, Volterra Integral and Functional Equations, Cambridge University Press, Cambridge, 1990, 701+22 pages.

Chapters in Books

  1. O. J. Staffans, The stationary state/signal systems story, in "Operator Theory, Function Spaces, and Applications", Volume 255 of Operator Theory: Advances and Applications, Birkhäuser, 2016, 199-220. Full article in pdf-form
  2. Damir Z. Arov, Mikael Kurula and Olof J. Staffans, Passive state/signal system and conservative boundary relations, Chapter 5 in "Operator Methods for Boundary Value Problems", Cambridge University Press, 2012, 87-119. Full article in pdf-form.
  3. Damir Z. Arov, Mikael Kurula and Olof J. Staffans, Boundary control state/signal systems and boundary triplets, Chapter 4 in "Operator Methods for Boundary Value Problems", Cambridge University Press, 2012, 73-85. Full article in pdf-form.
  4. D. Z. Arov and O. J. Staffans, State/signal linear time-invariant systems theory, Part III: Transmission and impedance representations of discrete time systems, in Operator Theory, Structured Matrices, and Dilations, Tiberiu Constantinescu Memorial Volume, M. Bakonyi, A. Gheondea, M. Putinar, J. Rovnyak, eds., Theta Foundation, Bucharest Romania, 2007, 101-140. (Available from American Mathematical Society.) Full article in pdf-form.
  5. O. J. Staffans, Passive linear discrete time-invariant systems, Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006, European Mathematical Society, 1367-1388 (invited special sessions talk at ICM2006). Full article in pdf-form. Slides in pdf-form.
  6. D. Z. Arov and O. J. Staffans, The infinite-dimensional continuous time Kalman-Yakubovich-Popov inequality, in The Extended Field of Operator Theory, Vol. 171 of Operator Theory: Advances and Applications, M. A. Dritschel, ed., Birkhäuser, Berlin, 2007, 37-72. Abstract in pdf-form. Full article in pdf-form.
  7. D. Z. Arov and O. J. Staffans, State/signal linear time-invariant systems theory, Part I: Discrete time systems, in The State Space Method, Vol. 161 of Operator Theory: Advances and Applications, D. Alpay and I. Gohberg, eds., Birkhäuser, Berlin, 2005, 115-177. Abstract in pdf-form. Full article in pdf-form.
  8. O. J. Staffans, Stabilization by collocated feedback, in Directions in Mathematical Systems Theory and Optimization, A. Rantzer and C. I. Byrns, eds., Lecture Notes in Control and Information Sciences 286, Springer-Verlag, Berlin, 2002, 261-278. Abstract in pdf-form. Full article in pdf-form
  9. O. J. Staffans, Passive and conservative infinite-dimensional impedance and scattering systems (from a personal point of view), in Mathematical Systems Theory in Biology, Communication, Computation, and Finance, J. Rosenthal and D. S. Gilliam, eds, IMA Volumes in Mathematics and its Applications 134, Springer-Verlag, New York, 2002, 375-413 (invited special sessions talk at MTNS2002). Abstract in pdf-form, Slides of invited semi-plenary MTNS-talk in pdf-form, Full article in pdf-form.
  10. O. J. Staffans, Well-posed linear systems, Lax-Phillips scattering and Lp-multipliers, in Systems, Approximation, Singular Integral Operators, and Related Topics, A. A. Borichev and N. K. Nikolski, eds, Operator Theory: Advances and Applications Vol 129, Birkhäuser Verlag, Switzerland, 445-464, 2001. Abstract in pdf-form. Full article in pdf-form.
  11. O. J. Staffans, State space theory for abstract Volterra operators, in Volterra Equations and Applications, C. Corduneanu and I. W. Sandberg, eds., Volume 10 of Stability and Control: Theory, Methods and Applications, Gordon and Breach Science Publishers, Amsterdam, the Netherlands, 2000, 111-123.

Publications in Refereed Journals

  1. M. R. Opmeer and O. J. Staffans, Optimal control on the doubly infinite time axis for well-posed linear systems, SIAM J. Control Optimization 57 (2019), 1985-2015. Full article in pdf-form.
  2. J. A. Ball, M. Kurula, and O. J. Staffans, A conservative de Branges-Rovnyak functional model for operator Schur functions on C+. Complex Anal. Oper. Theory 12 (2018), no. 4, 877-915.
  3. M. R. Opmeer and O. J. Staffans, Optimal control on the doubly infinite continuous-time axis and coprime factorizations, SIAM J. Control Optimization 52 (2014), 1958-2007. Full article in pdf-form.
  4. J. A. Ball, M. Kurula, O. J. Staffans, and H. Zwart, De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane, Complex Analysis and Operator Theory, 70 pages, Published online on March 15, 2014 Full article in pdf-form.
  5. G. Weiss and O. J. Staffans, Maxwell's equations as a scattering passive linear system, Siam J. Control Optimization 51 (2013), 3722-3756. Full article in pdf-form.
  6. O. J. Staffans and G. Weiss, A physically motivated class of scattering passive linear systems, SIAM J. Control Optim. 50 (2012), 3083-3112. Full article in pdf-form.
  7. O. J. Staffans, On scattering passive system nodes and maximal scattering dissipative operators, Proc. Amer. Math Soc. 141 (2013), 1377-1383. Full article in pdf-form.
  8. D. Z. Arov and O. J. Staffans, Symmetries in special classes of passive state/signal systems, Journal of Functional Analysis 262 (2012), 5021-5097. Full manuscript in pdf-form.
  9. M. R. Opmeer and O. J. Staffans, Coprime factorization and optimal control on the doubly infinite discrete time axis, SIAM J. Control Optimization 50 (2012), 266-285. Full article in pdf-form.
  10. Mikael Kurula and Olof J. Staffans, Connections between classical and generalised trajectories of a state/signal system, Complex Analysis and Operator Theory 5 (2011), 403-422. Full article in pdf-form.
  11. Damir Z. Arov, Mikael Kurula and Olof J. Staffans, Canonical State/Signal Shift Realizations of Passive Continuous Time Behaviors, Complex Analysis and Operator Theory 5 (2011), 331-402. Full article in pdf-form.
  12. M. R. Opmeer and O. J. Staffans, Optimal input-output stabilization of infinite-dimensional discrete time-invariant linear systems by output injection SIAM J. Control Optimization 48 (2010), pp. 5084-5107. Full article in pdf-form.
  13. Damir Z. Arov and Olof J. Staffans, Canonical Conservative State/Signal Shift Realizations of Passive Discrete Time Behaviors, Journal of Functional Analysis 259 (2010), pp. 3265-3327. Full article in pdf-form.
  14. D. Z. Arov and O. J. Staffans, Two Canonical Passive State/Signal Shift Realizations of Passive Discrete Time Behaviors, Journal of Functional Analysis 257 (2009), 2573-2634. Full article in pdf-form.
  15. M. Kurula and O. J. Staffans, Well-posed state/signal systems in continuous time, Complex Analysis and Operator Theory 4 (2010), 319-390. Full article in pdf-form.
  16. D. Z. Arov and O. J. Staffans, A Krein space coordinate free version of the de Branges complementary space, J. Functional Analysis 256 (2009), 3892-3915. Full article in pdf-form.
  17. M. R. Opmeer and O. J. Staffans, Optimal state feedback input-output stabilization of infinite-dimensional discrete time-invariant linear systems, Complex Analysis and Operator Theory 2 (2008), 479-510. Full article in pdf-form.
  18. D. Z. Arov and O. J. Staffans, State/signal linear time-invariant systems theory, Part IV: Affine Representations of discrete time systems, Complex Analysis and Operator Theory 1 (2007), 457-521. Full article in pdf-form.
  19. J. Malinen and O. J. Staffans, Impedance Passive and Conservative Boundary Control Systems, Complex Analysis and Operator Theory 1 (2007), 279-300. Full article in pdf-form.
  20. D. Z. Arov and O. J. Staffans, State/signal linear time-invariant systems theory, Passive discrete time systems, International Journal of Robust and Nonlinear Control 17 (2007), 497-548. Full article in pdf-form.
  21. M. Kurula and O. Staffans, A complete model of a finite-dimensional impedance-passive system, Mathematics of Control, Signals and Systems 19 (2007), no. 1, 23-63. Abstract in html-form. Full article in pdf-form.
  22. J. Malinen and O. J. Staffans, Conservative Boundary Control Systems, Journal of Differential Equations 231 (2006), 290-312. Full article in pdf-form.
  23. J. Malinen, O. J. Staffans and G. Weiss, When is a linear system conservative? Quarterly of Applied Mathematics 64 (2006), 61-91. Abstract in pdf-form. Full article in pdf-form.
  24. D. Z. Arov and O. J. Staffans, Bi-inner dilations and bi-stable passive scattering realizations of Schur class operator-valued functions, Integral Equations and Operator Theory 62 (2008), 29-42. Abstract in pdf-form. Full article in pdf-form.
  25. J. Ball and O. J. Staffans, Conservative state-space realizations of dissipative system behaviors, Integral Equations Operator Theory 54 (2006), 151-213. Abstract in pdf-form. Full article in pdf-form
  26. R. F. Curtain, H. Logemann, O. Staffans, Absolute stability results in infinite dimensions, Proceedings of the Royal Society of London A 460 (2004), 2171-2196. Full article in gzipped pdf-form
  27. O. J. Staffans and G. Weiss, Transfer functions of regular linear systems. Part III: Inversions and Duality, Integral Equations and Operator Theory 49 (2004), 517-558. Abstract in pdf-form. Full article in pdf-form
  28. R. F. Curtain, H. Logemann, O. Staffans, Stability results of Popov-type for infinite-dimensional systems with applications to integral control, Proc. London Math. Soc. 86 (2003), 779-816. Extended abstract in pdf-form. Full article in gzipped pdf-form
  29. H. Zwart, B. Jacob, O. J. Staffans, Weak admissibility does not imply admissibility for analytic semigroups, Systems & Control Letters 48 (2003), 341-350.
  30. O. J. Staffans, Passive and conservative continuous-time impedance and scattering systems. Part I: Well-posed systems, Mathematics of Control, Signals, and Systems 15 (2002), 291-315. Abstract in pdf-form. Full article in pdf-form
  31. O. J. Staffans and G. Weiss, Transfer functions of regular linear systems. Part II: The system operator and the Lax-Phillips semigroup, Trans. Amer. Math. Soc. 354 (2002), 3229-3262. Abstract in pdf-form. Full article in pdf-form
  32. O. J. Staffans, J-energy preserving well-posed linear systems, International Journal of Applied Mathematics and Computer Science 11 (2001), 1361-1378. Abstract in pdf-form. Full article in pdf-form
  33. G. Weiss, O. J. Staffans, and M. Tucsnak, Well-posed linear systems - a survay with emphasis on conservative systems, International Journal of Applied Mathematics and Computer Science 11 (2001), 7-33. Abstract in pdf-form. Full article in pdf-form.
  34. O. J. Staffans, Admissible factorizations of Hankel operators induce well-posed linear systems, Systems and Control Letters 37 (1999), 301-307.  Abstract in pdf-form. Full article in pdf-form.
  35. O. J. Staffans, Quadratic optimal control through coprime and spectral factorisation, European Journal of Control 5 (1999), 167-179.  Abstract in pdf-form. Full article in pdf-form.
  36. K. B. Hannsgen, O. J. Staffans, and R. L. Wheeler, Rational applications of transfer functions of some viscoelastic rods, with applications to robust control, Journal of Dynamical and Control Systems 5 (1999), 255-302.  Abstract in pdf-form.  Short version in pdf-form.
  37. O. J. Staffans, On the distributed stable full information H-infinity problem, International Journal of Robust and Nonlinear Control 8 (1998), 1255-1305. Abstract in pdf-form. Full article in pdf-form.
  38. O. J. Staffans, Feedback representations of critical controls for well-posed linear systems, International Journal of Robust and Nonlinear Control  8 (1998), 1189-1217.  Abstract in pdf-form. Full article in pdf-form.
  39. O. J. Staffans, Quadratic optimal control of well-posed linear systems, SIAM J. Control and Optimization 37 (1998), 131-164.  Abstract in pdf-form.  Full article in pdf-form.
  40. O. J. Staffans, Coprime factorizations and well-posed linear systems, SIAM J. Control and Optimization 36 (1998), 1268-1292.    Abstract in pdf-form. Full article in pdf-form.
  41. O. J. Staffans, Quadratic optimal control of stable well-posed linear systems, Trans. of Amer. Math. Soc. 349 (1997), 3679-3715.  Abstract in pdf-form.
  42. H. Petzeltová and O. J. Staffans, Spectral decomposition and invariant manifolds for some partial differential functional equations, Journal of Differential Equations 138 (1997), 301-327. Abstract in pdf-form.
  43. O. J. Staffans, On the discrete and continuous time infinite-dimensional algebraic Riccati equation, Systems and Control Letters 29 (1996), 131-138.  Abstract in pdf-form.
  44. O. J. Staffans, Quadratic optimal control of stable systems through spectral factorization, Math. Control, Signals Systems (1995), 167-197.
  45. O. J. Staffans, A neutral FDE is similar to the product of an ODE and a shift, Journal of Mathematical Analysis and Applications 192 (1995), 627-654.
  46. O. J. Staffans, Well-posedness and stablizability of a viscoelastic equation in energy space, Transactions of the American Mathematical Society 345 (1994), 527-575.
  47. O. J. Staffans, The four-block model matching problem in l1 and infinite-dimensional linear programming, SIAM Journal on Control and Optimization 31 (1993), 747-779.
  48. O. J. Staffans, Periodic L2-solutions of an integrodifferential equation in a Hilbert Space, Proc. Amer. Math. Soc. 117 (1993), 745-751.
  49. O. J. Staffans, MIMO l1-optimization with a scalar control, J. Optim. Theory Appl. 70 (1992), 545-564.
  50. O. J. Staffans, Stabilization of a distributed system with a stable compensator, Math. Control Signals Systems 5 (1992), 1-22.
  51. O. J. Staffans, Mixed sensitivity minimization problems with rational l1-optimal solutions, J. Optim. Theory Appl. 70 (1991), 173-189.
  52. O. J. Staffans, On the stable and unstable subspaces of a critical functional differential equation, J. Integral Equations Appl. 2 (1990), 225-236.
  53. O. J. Staffans, A direct Liapunov approach to Volterra integrodifferential equations, SIAM J. Math. Anal. 19 (1988), 879-901.
  54. O. J. Staffans, Hopf bifurcation for functional and functional differential equations with infinite delay, J. Differential Equations 70 (1987), 114-151.
  55. G. S. Jordan, O. J. Staffans and R. L. Wheeler, Subspaces of stable and unstable solutions of a functional differential equation in a fading memory space: the critical case, SIAM J. Math. Anal. 18 (1987), 1323-1340.
  56. G. S. Jordan, O. J. Staffans and R. L. Wheeler, Convolution operators in a fading memory space: the critical case, SIAM J. Math. Anal. 18 (1987), 366-386.
  57. O. J. Staffans, Semigroups generated by a neutral functional differential equation, SIAM J. Math. Anal. 17 (1986), 46-57.
  58. O. J. Staffans, Feedback stabilization of a scalar functional differential equation, J. Integral Equations 10 (1985), 319-342.
  59. O. J. Staffans, On the almost periodicity of solutions of an integrodifferential equation, J. Integral Equations 8 (1985), 249-260.
  60. H. Engler and O. J. Staffans, On a Volterra integrodifferential equation with several nonlinearities, Houston J. Math. 11 (1985), 299-306.
  61. O. J. Staffans, Extended initial and forcing function semigroups generated by a functional equation, SIAM J. Math. Anal. Appl. 16 (1985), 1034-1048.
  62. O. J. Staffans, On a nonconvolution Volterra resolvent, J. Math. Anal. Appl. 108 (1985), 15-30.
  63. O. J. Staffans, Some well-posed functional equations which generate semigroups, J. Differential Equations 58 (1985), 157-191.
  64. O. J. Staffans, A note on a Volterra equation with several nonlinearities, J. Integral Equations 7 (1984), 249-252.
  65. O. J. Staffans, On the stability of a Volterra equation with a monotone nonlinearity, J. Integral Equations 7 (1984), 239-248.
  66. O. J. Staffans, The null space and the range of a convolution operator in a fading memory space, Trans. Amer. Math. Soc. 281 (1984), 361-388.
  67. O. J. Staffans, A neutral FDE with stable D-operator is retarded, J. Differential Equations 49 (1983), 208-217.
  68. O. J. Staffans, On a neutral functional differential equation in a fading memory space, J. Differential Equations 50 (1983), 183-217.
  69. G. S. Jordan, O. J. Staffans and R. L. Wheeler, Local analyticity in weighted L1-spaces and applications to stability problems for Volterra equations, Trans. Amer. Math. Soc. 274 (1982), 749-782.
  70. O. J. Staffans, A bound on the solutions of a nonlinear Volterra equation, J. Math. Anal. Appl. 83 (1981), 127-134.
  71. O. J. Staffans, A priori bounds for a discontinuous Volterra equation, J. Integral Equations 3 (1981), 231-243.
  72. O. J. Staffans, On asymptotically almost periodic solutions of a convolution equation, Trans. Amer. Math. Soc. 266 (1981), 603-616.
  73. O. J. Staffans, On a nonlinear hyperbolic Volterra equation, SIAM J. Math. Anal. 11 (1980), 793-812.
  74. O. J. Staffans, A Volterra equation with square integrable solution, Proc. Amer. Math. Soc. 78 (1980), 213-217.
  75. O. J. Staffans, A nonlinear Volterra equation with rapidly decaying solutions, Trans. Amer. Math. Soc. 258 (1980), 523-530.
  76. O. J. Staffans, On a nonlinear integral equation with a nonintegrable perturbation, J. Integral Equations 1 (1979), 291-307.
  77. O. J. Staffans, Some energy estimates for a nondifferentiated Volterra equation, J. Differential Equations 32 (1979), 285-293.
  78. O. J. Staffans, On the asymptotic spectrum of a convolution, SIAM J. Math. Anal. 6 (1979), 1138-1143.
  79. S-O. Londen and O. J. Staffans, A note on Volterra equations in a Hilbert space, Proc. Amer. Math. Soc. 70 (1978), 57-62.
  80. O. J. Staffans, On the asymptotic behavior of finite energy solutions of an abstract integral equation, SIAM J. Math. Anal. 9 (1978), 867-875.
  81. O. J. Staffans, An asymptotic problem for a positive definite operator-valued Volterra kernel, SIAM J. Math. Anal. 9 (1978), 855-866.
  82. O. J. Staffans, On the holomorphic properties of the nonlinearity in a Volterra equation, J. Math. Anal. Appl. 64 (1978), 48-60.
  83. O. J. Staffans, Boundedness and asymptotic behavior of solutions of a Volterra equation, Michigan Math. J. 24 (1977), 77-95.
  84. O. J. Staffans, Systems of nonlinear Volterra equations with positive definite kernels, Trans. Amer. Math. Soc. 228 (1977), 99-116.
  85. O. J. Staffans, On the asymptotic spectra of the bounded solutions of a nonlinear Volterra equation, J. Differential Equations 24 (1977), 365-382.
  86. O. J. Staffans, An inequality for positive definite Volterra kernels, Proc. Amer. Math. Soc. 58 (1976), 205-210.
  87. O. J. Staffans, Tauberian theorems for a positive definite form, with applications to a Volterra equation, Trans. Amer. Math. Soc. 218 (1976), 239-259.
  88. O. J. Staffans, Positive definite measures with applications to a Volterra equation, Trans. Amer. Math. Soc. 218 (1976), 219-237.
  89. O. J. Staffans, Nonlinear Volterra integral equations with positive definite kernels, Proc. Amer. Math. Soc. 51 (1975), 103-108.

Publications in Proceedings and Conference Lectures

  1. O. J. Staffans, The state/signal resolvent functions, Lecture at the Oberwolfach workshop "Spectral Theory and Weyl Functions", Junaury 4-10, 2015. The talk as an article in pdf-form. Slides in pdf-form.
  2. O. J. Staffans, The linear stationary state/signal systems story, Lecture at IWOTA 2014, Amsterdam, July 14-18, 2014. Slides in pdf-form.
  3. D. Z. Arov and O. J. Staffans, The i/s/o resolvent set and the i/s/o resolvent matrix of an i/s/o system in continuous time, Lecture at MTNS 2014, Groningen, July 7-11, 2014. Full article in pdf-form. Slides in pdf-form.
  4. O. Staffans, Frequency domain well-posed linear systems, Lecture at CDPS 2013, Craiova, July 1-5, 2013. Slides in pdf-form.
  5. O. Staffans, Time versus frequency domain, Lecture at the Workshop on System and Operator Realizations of Analytic Functions, the Lorentz Center, Leiden, February 18-22, 2013. Slides in pdf-form.
  6. O. Staffans, Passive scattering systems, Lecture at the Workshop on Spectral Theory and Differential Operators, Graz, August 27-31, 2012. Slides in pdf-form.
  7. O. Staffans, On the Past Time Final State and Initial State Future Time Optimal Control Problems, Lecture at CDPS 2011, Wuppertal, July 18-22, 2011. Slides in pdf-form.
  8. O. Staffans, The dynamics induced by a boundary relation, Lecture at the Henk de Snoo Seminar in Groningen, Dec. 14-17, 2010. Slides in pdf-form.
  9. O. Staffans, Scattering and impedance passive and conservative systems, Lecture at the Oberwolfach mini workshop Wellposedness and Controllability of Evolution equations, Oberwolfach, Dec. 13-17, 2010. Extended abstract in pdf-form. Slides in pdf-form.
  10. O. Staffans, The Reciprocal Symmetry in State/Signal Systems in Continuous Time, Lecture at MTNS10.Budapest, 2010. Full article in pdf-form.
  11. D. Z. Arov, M.Kurula, and O. Staffans, Passive behaviors and their passive state/signal realizations in continuous time, Lecture at MTNS10, Budapest, 2010. Full article in pdf-form.
  12. O. Staffans, Passive and conservative state/signal systems in continuous time, Lecture at IWOTA10. Abstract in pdf-form.
  13. O. Staffans, Passive and conservative state/signal systems, Lecture at the Workshop on System and Operator Realizations of Analytic Functions, the Lorentz Center, Leiden, December 14-18, 2009. Slides in pdf-form.
  14. O. Staffans, Conservative boundary control systems, Lecture at the Workshop on System and Operator Realizations of Analytic Functions, the Lorentz Center, Leiden, December 14-18, 2009. Slides in pdf-form.
  15. D. Z. Arov and O. Staffans, Reciprocal symmetry in state/signal systems, Lecture at the IFAC Workshop on Control of Distributed Parameter Systems, Toulouse, 2009. Extended abstract in pdf-form. Slides in pdf-form.
  16. D. Z. Arov and O. Staffans, Three canonical passive state/signal shift models in the unit disk, Lecture at the 25th Nordic and 1st British-Nordic congress of Mathematicians, Olso, 2009. Extended abstract in pdf-form.
  17. O. Staffans, How to complete a maximal nonnegative subspace of a Krein spaces? Lecture at the 8th Workshop Operator Theory in Krein Spaces and Inverse Problems, Berlin, 2008. Slides in pdf-form.
  18. M. Kurula and O. Staffans, Well-posed state/signal systems in continuous time, Lecture at MTNS08. Full article in pdf-form. Slides in pdf-form.
  19. D. Z. Arov and O. Staffans, Hilbert spaces contained in quotients of Krein spaces, with applications to passive state/signal realization theory, Lecture at IWOTA08. Abstract in pdf-form. Slides in pdf-form.
  20. D. Z. Arov and O. Staffans, Passive and conservative state/signal systems, Lecture at MAA2007 (conference in honour of the 100 birthday of M. G. Krein). Slides in pdf-form.
  21. J. Malinen and O. Staffans, Semigroups of impedance conservative boundary control systems, Proceedings of MTNS2006 (CDROM). Full article in pdf-form.
  22. D. Z. Arov and O. Staffans, Affine input/state/output representations of state/signal systems, Proceedings of MTNS2006 (CDROM). Full article in pdf-form. Slides in pdf-form.
  23. D. Z. Arov and O. Staffans, H-passive linear discrete time invariant state/signal systems, Proceedings of MTNS2006 (CDROM). Full article in pdf-form. Slides in pdf-form.
  24. D. Z. Arov and O. Staffans, H-passive linear discrete time invariant state/signal systems, Talk at the Meeting of the Finnish Mathematical Society, Jan 4-5, 2005 Slides in pdf-form.
  25. D. Z. Arov and O. Staffans, The Infinite-Dimensional Continuous Time Kalman-Yakubovich-Popov Inequality (for Scattering Supply Rate), Proceedings of CDC-ECC2005 (CDROM). Full article in pdf-form. Slides in pdf-form.
  26. D. Z. Arov and O. Staffans, Reciprocal passive linear time-invariant systems, Proceedings of MTNS2004 (CDROM). Full article in pdf-form.
  27. D. Z. Arov and O. Staffans, Passive and conservative infinite-dimensional linear state/signal systems, Proceedings of MTNS2004 (CDROM). Full article in pdf-form.
  28. K. M. Mikkola and O. Staffans, Coprime factorizations and stabilizability of infinite-dimensional linear systems, Proceedings of MTNS2004 (CDROM). Full article in pdf-form.
  29. K. M. Mikkola and O. Staffans, Riccati equations and optimal control for infinite-dimensional linear systems, Proceedings of MTNS2004 (CDROM). Full article in pdf-form.
  30. K. M. Mikkola and O. J. Staffans, A Riccati equation approach to the standard infinite-dimensional H-infinity problem, Proceedings of MTNS2002 (CDROM). Abstract in pdf-form. Full article in pdf-form.
  31. O. J. Staffans and G. Weiss, Compatible versus regular well-posed linear systems, Proceedings of MTNS2000 (CDROM). Full article in pdf-form. Full article in pdf-form.
  32. R. F. Curtain and O. J. Staffans, Regular spectral factorizations, in Open Problems in Mathematical Systems and Control Theory, V. D. Blondel, E. D. Sontag, M. Vidyasagar, and J. C. Willems, eds., Springer-Verlag, London, 1999, 89-93.  Abstract in pdf-form.  Full article in pdf-form.
  33. O. J. Staffans, Factorizations of Hankel operators and well-posed linear systems, Proceedings of ECC99 (CDROM).Full article in pdf-form.
  34. O. J. Staffans, Lax-Phillips scattering and well-posed linear systems, in Proceedings of the 7th Mediterranean Conference on Control and Automation (MED99), Haifa, Israel, June 1999, 1359-1370. Full article in pdf-form.
  35. O. J. Staffans and K. M. Mikkola, A minimax formulation of the infinite-dimensional Nehari problem, in Mathematical Theory of Networks and Systems, A. Berghi, L. Finesso, G. Picci, eds., Proceedings of the MTNS98 symposium in Padova, July 1998, 539-542.Full article in pdf-form.
  36. O. J. Staffans, Quadratic optimal control of a parabolic equation, in Mathematical Theory of Networks and Systems, A. Berghi, L. Finesso, G. Picci, eds., Proceedings of the MTNS98 symposium in Padova, July 1998, 535-538. Full article in pdf-form.
  37. O. J. Staffans, Coprime factorizations and well-posed linear systems, in Proceedings of 37th IEEE Conference on Decision & Control, Tampa, Florida, December 1998, 2751-2756. Full article in pdf-form.
  38. O. J. Staffans, Quadratic optimal control of well-posed linear systems, in Proceedings of 37th IEEE Conference on Decision & Control, Tampa, Florida, December 1998, 644-649. Full article in pdf-form.
  39. O. J. Staffans and G. Weiss, Well-posed linear systems in L1 and L-infinity are regular, in Proceedings of MMAR'98, Methods and Models in Automation and Control, 25-29 August, Miedzyzdroje, Poland, 1998, 75-80. Full article in pdf-form
  40. O. J. Staffans, Minimax H-infinity control of stable distributed systems, in Proceedings of the 5th IEEE Mediterranean Conference on Control and Systems, Paphos, Cyprus, July 21-23, 1997.
  41. O. J. Staffans, On the distributed stable full information H-infinity problem, in Proceedings of the European Control conference ECC97, Brussels, Belgium, July 1-4, 1997.
  42. O. J. Staffans, The algebraic Riccati equation in discrete and continuous time, in Proceedings of the International Conference on Control and Estimation of Distributed Parameter Systems, Vorau, Austria, July 14-20, 1996, International Series of Numerical Mathematics 126, Birkhäuser Verlag, 1998, 267-277.
  43. O. J. Staffans, Quadratic optimal control of stable abstract linear systems, in Modelling and Optimization of Distributed Parameter Systems Applications to Engineering, Proceedings of the IFIP WG7.2 in Warshaw on  July 17-21 1995, K. Malanowsi, Z. Nahorski, and M. Peszynska, eds., Chapman & Hall, London, 1996, 167-174.
  44. O. J. Staffans, The delay equation approach to quadratic optimal control, in Qualitative Problems for Differential Equations and Control Theory, C. Corduneany, ed., World Scientific, Singapore, 1995, 197-205.
  45. O. J. Staffans, The four-block model matching problem in l1, in Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, Arizona, Dec. 16-18, 1992, 2199-2201.
  46. O. J. Staffans, K. B. Hannsgen, and R. L. Wheeler, Rational approximation of the transfer function of a viscoelastic rod, in Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems, R. Curtain, ed., Lecture Notes in Control and Information Sciences 195, Springer-Verlag, Berlin, 1993, 551-564.
  47. O. J. Staffans, Periodic solutions of an abstract integrodifferential equation, in Functional Differential Equations and Related Topics, Proceedings of the International Conference in Kyoto, Japan; August 30-September 2, World Scientific, Singapore, 1991, 344-348.
  48. O. J. Staffans, Stable and unstable subspaces of a critical functional differential equation, in Differential Equations: Stability and Control, S. Elaydi, ed., Marcel Dekker, Inc., New York, 1991, 485-494.
  49. O. J. Staffans, Hopf bifurcation for an infinite delay functional equation, in Dynamics of Infinite Dimensional Systems, S.-N. Chow and J. K. Hale, ed, NATO ASI Series, Springer-Verlag, Berlin, 1987, 313-323.
  50. O. J. Staffans, Semigroups generated by a convolution equation. In Infinite-Dimensional Systems, F. Kappel and W. Schappacher, ed., Lecture Notes in Mathematics 1076, Springer-Verlag, Berlin, 1984, 209-226.
  51. O. J. Staffans, En Volterra ekvations fundamentala lösning. In Matemaatikkopäivät 1983, S. K. Kivelä and O. Nevanlinna, ed., Report-MAT-C3, Tekniska Högskolan i Helsingfors, 1983, 71-85.
  52. F. V. Atkinson, J. R. Haddock and O. J. Staffans, Integral inequalities and exponential convergence of solutions of differential equations with bounded delay. In Ordinary and Partial Differential Equations, W. N. Everitt and B. D. Sleeman, ed., Springer-Verlag, Berlin, 1982, 56-68.
  53. O. J. Staffans, On weighted measures and a neutral functional differential equation. In Volterra and Functional Differential Equations, Hannsgen et al, ed, Marcel Dekker, 1982, 175-184.
  54. O. J. Staffans, A nonlinear Volterra integral equation with square integrable solutions. In Volterra Equations, S-O. Londen and O. J. Staffans, ed., Lecture notes in Mathematics 737, Springer-Verlag, Berlin, 1979, 281-286.

Old Manuscripts and Internal Reports

  1. O. J. Staffans, A backward characterization of adjoint strong stability, unpublished manuscript from April 2005, 3 pages. (The result turned out to be known, although it was new to me.) Full article in pdf-form.
  2. O. J. Staffans, Quadratic optimal control of regular well-posed linear systems, with applications to parabolic equations, unpublished manuscript from September 1997.  Full article in pdf-form
  3. O. J. Staffans, Quadratic optimal control through coprime and spectral factorizations, Åbo Akademi Reports on Computer Science & Mathematics, Ser. A, No 178, 1996.  Full article in pdf-form.

Other Publications

  1. Olof Staffans, Matematiken - en fast grund och en skön konst, Nya Argus 90 (1997), 68-70.
  2. Olof Staffans, Robust reglering - ett spel med naturen, SPHINX 2003-2004 (Finska Vetenskaps-Societetens Årsbok), 53-63.

Updated by Olof Staffans on June 1, 2023.