Output Target Control and Uncertain Infinite-Dimensional Systems

  • Zbigniew Emirsajlow
Conference paper
Part of the International Series of Numerical Mathematics book series (ISNM, volume 124)


The paper considers two output target control problems for an uncertain linear infinite-dimensional system with bounded input and output operators. Uncertainty in the system description is modelled by an unknown bounded perturbation of the system operator. We present an approach to computing estimates for the deviation of the terminal output of the perturbed system from the terminal output of the unperturbed system. This approach involves differential Liapunov equations and a concept of the so-called composite semigroup.


Real Hilbert Space Output Operator Semi Group Terminal Output Differential Riccati Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Aubin, J.P.: Applied Functional Analysis. John Wiley & Sons, New York, 1979.zbMATHGoogle Scholar
  2. [2]
    Emirsajlow, Z.: A feedback for an infinite-dimensional linear-quadratic control problem with a fixed terminal state. IMA J. Mathematical Control and Information, Vol. 6, 1989.Google Scholar
  3. [3]
    Emirsajlow, Z.: Feedback control in LQCP with a terminal inequality constraint. J. Optimization Theory and Applications, Vol. 62, No. 3, 1989.Google Scholar
  4. [4]
    Emirsajlow, Z.: Terminal target control and uncertain systems. Proceedings of the 3rd European Control Conference ECC 95, September 5–8, 1995, Roma, Italy, Vol. 3, Part one.Google Scholar
  5. [5]
    Emirsajlow, Z.; Pritchard, A.J.; Townley, S.: On structured perturbations for two classes of linear infinite-dimensional systems. Dynamics and Control, Vol. 6, 1996.Google Scholar
  6. [6]
    Kato, T.: Perturbation Theory of Linear Operators. Springer-Verlag, Berlin 1966.Google Scholar
  7. [7]
    Nagel, R. (Ed.): One-Parameter Semigroup of Positive Operators. Springer-Verlag, Berlin, 1986.Google Scholar
  8. [8]
    Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, New York, 1983.zbMATHCrossRefGoogle Scholar
  9. [9]
    Trenogin, V.A.: Functional Analysis. Nauka, Moscow 1980.zbMATHGoogle Scholar
  10. [10]
    Weiss, G.: Regular linear systems with feedback. Mathematics of Control, Signals and Systems, Vol 7, 1994.Google Scholar

Copyright information

© Springer Basel AG 1998

Authors and Affiliations

  • Zbigniew Emirsajlow
    • 1
  1. 1.Technical University of SzczecinSzczecinPoland

Personalised recommendations