On the generalized Aizerman-Myshkis problem for retarded distributed parameters systems

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2 Scopus citations

Abstract

We consider a class of nonlinear distributed parameters retarded systems governed by differential-delay equations in a Hilbert space. The considered equations have separated linear parts and sublinear nonlinearities. Explicit conditions are established for the absolute stability. Moreover, it is shown that these conditions separate equations that satisfy the generalized Aizerman-Myshkis hypothesis.

Original languageEnglish
Pages (from-to)129-136
Number of pages8
JournalIMA Journal of Mathematical Control and Information
Volume20
Issue number1
DOIs
StatePublished - 1 Mar 2003

Keywords

  • Absolute stability
  • Nonlinear distributed parameters retarded systems
  • The Aizerman-Myshkis problem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Applied Mathematics

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