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A Characterization of Strong Invariance for Perturbed Dissipative Systems

  • Part III Nonsmooth Analysis and Applications
  • Conference paper
  • First Online:
Optimal Control, Stabilization and Nonsmooth Analysis

Part of the book series: Lecture Notes in Control and Information Science ((LNCIS,volume 301))

Abstract

This note studies the strong invariance property of a discontinuous differential inclusion in which the right hand side is the sum of an almost upper semicontinuous dissipative and an almost lower semicontinuous one-sided Lipschitz multifunction. A characterization is obtained in terms of a Hamilton-Jacobi inequality.

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Authors and Affiliations

  1. Department of Mathematics, University of Architecture and Civil Engineering, 1 “Hr. Smirnenski” str., 1046 Sofia, Bulgaria.,  

    Tzanko Donchev

  2. Department of Mathematics, Louisiana State University and A. and M. College, Baton Rouge, LA 70803-4918.,  

    Vinicio Rios & Peter Wolenski

Authors
  1. Tzanko Donchev
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  2. Vinicio Rios
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  3. Peter Wolenski
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Editor information

Marcio S. de Queiroz Michael Malisoff Peter Wolenski

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Donchev, T., Rios, V., Wolenski, P. A Characterization of Strong Invariance for Perturbed Dissipative Systems. In: de Queiroz, M.S., Malisoff, M., Wolenski, P. (eds) Optimal Control, Stabilization and Nonsmooth Analysis. Lecture Notes in Control and Information Science, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39983-4_23

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  • DOI: https://doi.org/10.1007/978-3-540-39983-4_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21330-7

  • Online ISBN: 978-3-540-39983-4

  • eBook Packages: Springer Book Archive

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