Finite-time stability of nonlinear switched impulsive systems

Abstract

In this article, the problem of finite-time stability (FTS) of nonlinear switched impulsive systems is first considered. A new concept of FTS is introduced and sufficient conditions for a switched impulsive system to be finite-time stable are presented by using switched Lyapunov functions. Some results of FTS of impulsive systems and switched systems can be obtained from this article as special cases, respectively. Two numerical examples are given to illustrate the effectiveness of the proposed results.

Keywords:

• finite-time stability
• switched systems
• impulsive systems

Acknowledgements

The authors would like to thank the editor and the reviewers for their constructive comments and suggestions to improve the quality of this article. This work was supported by the National Science Foundation of China under grants 60874027 and 61174039.