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Stability of interconnected systems having slope-bounded nonlinearities

  • Michael G. Safonov
Session 5 Stability II
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)

Abstract

Improved stability criteria are obtained for systems having multiple nonlinearities. The key result (lemma 2) identifies a class of frequency dependent scaling factors d(s) such that, for any time-invariant slope-bounded nonlinearity f(x), the "scaled" operator dfd−1 is in the same L2 conic sector as f(x). Previous results admit only constant scaling factors d.

Keywords

Feedback System Stability Margin Small Gain Theorem Diagonal Scaling Uncertain Element 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Michael G. Safonov
    • 1
  1. 1.Department of Electrical Engineering-SystemsUniversity of Southern CaliforniaLos AngelesU.S.A.

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