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Stability of interconnected systems having slope-bounded nonlinearities

  • Session 5 Stability II
  • Conference paper
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Book cover Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((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.

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Authors and Affiliations

  1. Department of Electrical Engineering-Systems, University of Southern California, 90089-0781, Los Angeles, CA, U.S.A.

    Michael G. Safonov

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  1. Michael G. Safonov
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Editor information

A. Bensoussan J. L. Lions

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© 1984 Springer-Verlag

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Safonov, M.G. (1984). Stability of interconnected systems having slope-bounded nonlinearities. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004960

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  • DOI: https://doi.org/10.1007/BFb0004960

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13551-7

  • Online ISBN: 978-3-540-39007-7

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