Controllability of semilinear systems

  • V. N. Do
Contributed Papers

Abstract

The most general results known about controllability of semilinear systems are found in Refs. 1 and 2. The authors of these papers used different approaches, and no connection between them has ever been pointed out. The purpose of this paper is to present a general theorem under which these results easily follow.

Key Words

Controllability semilinear systems null controllability Schauder's fixed-point theorem 

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References

  1. 1.
    Aronsson, G.,Global Controllability and Bang-Bang Steering of Certain Nonlinear Systems, SIAM Journal on Control, Vol. 15, pp. 607–619, 1973.Google Scholar
  2. 2.
    Dauer, J.,Nonlinear Perturbations of Quasilinear Control Systems, Journal of Mathematical Analysis and Applications, Vol. 54, pp. 717–725, 1976.Google Scholar
  3. 3.
    Lukes, D. L.,Global Controllability of Nonlinear Systems, SIAM Journal on Control, Vol. 10, pp. 112–126, 1972; Erratum: Global Controllability of Nonlinear Systems, Vol. 11, pp. 186, 1973.Google Scholar
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  10. 10.
    Do, V. N,Stabilizability, and Controllability of Semilinear Systems, University of California, Los Angeles, PhD Thesis, 1988.Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • V. N. Do
    • 1
  1. 1.Electrical Engineering DepartmentUniversity of CaliforniaLos Angeles

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