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Properties and calculation of transmission zeros for distributed parameter systems

  • S. A. Pohjolainen
  • H. N. Koivo
Optimal Control: Partial Differential Equations
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)

Keywords

Output Feedback Modal Approximation Distribute Parameter System Root Locus Closed Linear Operator 
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.

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References

  1. [1]
    Wonham, M.W., “Linear Multivariable Control”, Springer, Berlin Heidelberg, New, York, 1974.Google Scholar
  2. [2]
    Triggiani, R., “On the Stabilizability Problem in Banach Space”, J. Math. Anal. Appl. vol 52, pp. 383–403, 1975.Google Scholar
  3. [3]
    Balakrishnan, A., “Applied Functional Analysis”, New York, Springer Verlag 1976.Google Scholar
  4. [4]
    Curtain, R. and Pritchard, A., “Infinite-Dimensional Linear Systems Theory”, Berlin, Heidelberg, New York, Springer, 1978.Google Scholar
  5. [5]
    Levan, N., “Stabilizability Problem: A Hilbert Space Operator Decomposition approach”, IEEE Tr. Circuits and Systems, vol 25, No 9, pp. 721–728, 1978.Google Scholar
  6. [6]
    MacFarlane A., “Relationships Between Recent Developments in Linear Control Theory and Classical Design Techniques” in Control System Design by Pole-zero Assignment ed. by F. Fallside, London, New York, San Francisco, Academic Press, 1977.Google Scholar
  7. [7]
    Kouvaritakis, B. and MacFarlane A., “Geometric Approach to Analysis and Synthesis of System Zeros, Part 1. Square Systems”, Int. J. Control, vol 23, No 2, pp. 149–166, 1976.Google Scholar
  8. [8]
    Weinstein, A., “On Nonself-adjoint Perturbations of Finite Rank”. J. Math.Anal. Appl. 45, pp. 604–614, 1974.Google Scholar
  9. [9]
    Weinstein, A., Stenger, W., “Method of Intermediate Problems for Eigenvalues”, New York, London, Academic Press, 1972.Google Scholar
  10. [10]
    Pohjolainen, S., “Computation of Transimission Zeros of Distributed Parameter Systems”, Research Report No 34, Department of Mathematics, Tampere University of Technology, Tampere, Finland 1979.Google Scholar
  11. [11]
    Davison, E., Wang, S., “An Algortihm for the Calculations of Transmission Zeros of the System (C,A,B,D) Using High Gain Output Feedback,” IEEE Tr. Aut. Control, vol AC-23, 4, 1978.Google Scholar
  12. [12]
    Kato, T., “Pertubation Theory for Linear Operators”, Berlin, Heidelberg, New York 1976.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • S. A. Pohjolainen
    • 1
  • H. N. Koivo
    • 1
  1. 1.Department of Electrical EngineeringTampere University of TechnologyTampereFinland

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