Nonlinear unity-feedback systems and Q-parametrization

  • C. A. Desoer
  • C. A. Lin
Session 5 Stability II
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)


This paper concerns nonlinear systems, defines a new concept of stability and extends to unity-feedback systems the technique of Q-parametrization introduced by Zames and developed by Desoer, Chen and Gustafson. We specify 1) a global parametrization of all controllers that S-stabilize a given S-stable plant; 2) a parametrization of a class of controllers that stabilize an unstable plant; 3) necessary and sufficient conditions for a nonlinear controller to simultaneously stabilize two nonlinear plants.


Feedback System Nonlinear Case Global Parametrization Stable Feedback Nonlinear Controller 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • C. A. Desoer
    • 1
  • C. A. Lin
    • 1
  1. 1.Department of Electrical Engineering and Computer Sciences and the Electronics Research LaboratoryUniversity of CaliforniaBerkeley

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