Delay-dependent conditions for finite time stability of linear time-varying systems with delay

Menghua Chen, Jian Sun*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

This paper investigates the problem of finite time stability of linear time-varying system with delay. By constructing an augmented time-varying Lyapunov functional and using the Wirtinger-type inequality deductively, delay-dependent finite time stability conditions are derived and presented in terms of differential linear matrix inequalities (DLMIs). Then, the DLMIs are transformed into a series of recursive linear matrix inequalities (RLMIs) by discretizing the time interval into equally spaced time distances, and an algorithm is given to solve the RLMIs. Examples illustrate the feasibility and effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)924-933
Number of pages10
JournalAsian Journal of Control
Volume22
Issue number2
DOIs
Publication statusPublished - 1 Mar 2020

Keywords

  • delay-dependent conditions
  • discretization
  • finite time stability
  • time-varying system

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