Finite-time annular domain stability of impulsive switched systems: mode-dependent parameter approach

ABSTRACT

This paper investigates the finite-time stability of impulsive switched systems. By applying mode-dependent parameter approach and average impulsive switched interval technique, the conditions that guarantee the finite-time annular domain stability and finite-time annular domain boundedness for general linear and nonlinear impulsive switched systems are established. Meanwhile, the superiority of mode-dependent parameter approach over common parameter approach is analysed. Also, we consider the effect of different impulsive strengths and draw a less conservative conclusion. Moreover, we extend the conclusion from nonlinear impulsive switched systems to linear impulsive switched systems, and a new sufficient condition for state feedback controllers is proposed on the basis of coupled matrix inequalities. Furthermore, for systems containing external disturbance, we obtain a sufficient condition of finite-time annular domain boundedness. Finally, we present two examples to illustrate the effectiveness of the results.

KEYWORDS:

• Finite-time annular domain stability
• impulsive switched systems
• mode-dependent parameter
• average impulsive switched interval

Acknowledgments

The authors would like to thank the Associate Editor and anonymous referees for their helpful comments and suggestions which greatly improved this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by NNSF of China [grant number 61403228], [grant number 61403221], [grant number 61273091]; China Postdoctoral Science Foundation project [grant number 2015M580579], [grant number 2017M610425]; Taishan Scholar Project of Shandong Province of China.