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On absolute stability analysis by polyhedral Lyapunov functions

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71 Citations (Scopus)

Abstract

This paper addresses the problem of computing a polyhedral Lyapunov function (PLF) for a linear differential inclusion (LDI). A numerically efficient algorithm is presented to compute a PLF for an LDI. It is also pointed out that for the case of a polyhedron defined by vertices (rather than by faces) one can state algebraic stability conditions analogous to those given by Molchanov and Pyatnitskiy (1986).

Original languageEnglish
Pages (from-to)573-578
Number of pages6
JournalAutomatica
Volume36
Issue number4
DOIs
Publication statusPublished - Apr 2000

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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