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.
Acknowledgments
The authors would like to thank the editor and the reviewers for their constructive comments and suggestions which improved the quality of the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Junhui Zhang http://orcid.org/0000-0001-6879-5418
Qing-Guo WANG http://orcid.org/0000-0002-3672-3716
Jitao Sun http://orcid.org/0000-0002-9581-8336