The novel impulsive switching conditions for stability of impulsive switched stochastic systems

Abstract

This paper studies the problems of stability analysis and stabilisation synthesis for a class of impulsive switched stochastic systems. By constructing a novel impulsive switching condition, the sufficient conditions of globally asymptotic stability in probability and stochastic input-to-state stability for the considered systems are presented. Furthermore, the stabilising controller design method can be presented for the corresponding closed-loop systems. Two examples are given to illustrate the effectiveness of the obtained results.

Keywords:

• Globally asymptotic stability in probability
• stochastic input-to-state stability
• impulsive switching condition
• average impulsive switching interval
• decay rate
• impulse strength

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was jointly supported by National Natural Science Foundation of China [grant number 12071408, 62173139], Natural Science Foundation of Jiangsu Province [grant number BK20201149] and the Science and Technology Innovation Program of Hunan Province [grant number 2021RC4030].