Stability analysis and L1-gain characterization for switched positive systems under dwell-time constraint

Weiming Xiang, James Lam, Jun Shen

Research output: Contribution to journalArticle

Abstract

This paper deals with the problems of stability analysis and L1-gain characterization for continuous-time switched systems consisting of positive subsystems. With the aid of a discretized copositive Lyapunov function, a sufficient condition ensuring the asymptotic stability of continuous-time switched positive systems under dwell-time constraint is obtained, which can be checked via linear programming. Furthermore, the conservatism of the proposed approach is studied and the result with least conservatism in the framework of discretized copositive Lyapunov function is obtained. The result is then extended to L1-gain characterization for switched positive systems. With a prescribed dwell time, an unweighted L1-gain can be computed via solving a linear programming problem. A numerical example and a practical traffic example are given to illustrate our results.

Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalAutomatica
Volume85
DOIs
StatePublished - Nov 2017
Externally publishedYes

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Lyapunov functions
Linear programming
Asymptotic stability

Keywords

  • Dwell time
  • L-gain
  • Positive system
  • Stability
  • Switched system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Stability analysis and L1-gain characterization for switched positive systems under dwell-time constraint. / Xiang, Weiming; Lam, James; Shen, Jun.

In: Automatica, Vol. 85, 11.2017, p. 1-8.

Research output: Contribution to journalArticle

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