Some results on practical stabilizability of discrete-time switched affine systems

Xuping Xu, Guisheng Zhai, Shouling He

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, we continue our recent study on practical stabilizability of discrete-time (DT) switched systems. After briefly reviewing some practical stabilizability notions, we prove a sufficient condition for ε{lunate}-practical asymptotic stabilizability. Then we focus on a class of DT switched systems - namely, switched affine systems - and present an approach to estimating the minimum bound for practical stabilizability. On the basis of the approach, we also present several new sufficient conditions for global ε{lunate}-practical asymptotic stabilizability of such a class of systems. Since such a class of systems is often derived by sampling continuous-time (CT) switched systems, we finally present some preliminary results on the relationship between CT and DT switched affine systems.

Original languageEnglish
Pages (from-to)113-121
Number of pages9
JournalNonlinear Analysis: Hybrid Systems
Volume4
Issue number1
DOIs
Publication statusPublished - 2010 Feb 1

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Keywords

  • Affine systems
  • Discrete-time systems
  • Hybrid systems
  • Stabilizability
  • Switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

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