On finite-time stability of nonautonomous nonlinear systems

Junhui Zhang, Qing Guo Wang, Jitao Sun

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

This paper is concerned with the finite-time stability (FTS) of nonautonomous nonlinear systems. Firstly, a new definition of FTS for nonautonomous nonlinear systems is introduced. Then some sufficient conditions on FTS for nonautonomous nonlinear systems are established based on Lyapunov function. Furthermore, the conditions are shown to be necessary and sufficient for linear time-varying systems. Finally, several numerical examples are given to illustrate our results.

Original languageEnglish
Pages (from-to)783-787
Number of pages5
JournalInternational Journal of Control
Volume93
Issue number4
DOIs
Publication statusPublished - 2 Apr 2020

Keywords

  • Finite-time stability
  • Lyapunov function
  • nonautonomous systems
  • nonlinear systems
  • time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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