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ABSTRACT
This paper is devoted to study the stability of switched singular stochastic linear systems with both stable and unstable subsystems. By using the method of multiple Lyapunov functions and the notion of average dwell time, we provide sufficient conditions for the exponential mean-square stability of switched singular stochastic systems in terms of a proper switching rule and the linear matrix inequalities. An example is given to illustrate the effectiveness of the obtained results.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was jointly supported by the National Natural Science Foundation of China [61773217, 61374080,11531006], the Natural Science Foundation of Jiangsu Province [BK20161552], Qing Lan Project of Jiangsu Province, the Priority Academic Program Development of Jiangsu Higher Education Institutions, and the Natural Science Foundation for colleges and universities in Jiangsu Province [14KJB110025].