Abstract
This paper addresses the globally stochastically exponentially input-to-state stability (ISS) and ISS of discrete-time switched stochastic systems with partially unstable subsystems under the influence of time-varying delays and external input by applying the mode-dependent average dwell time and the multiple Lyapunov-Krasovskii functional. Some main idea of the research is overcome the influences caused by partially unstable subsystems in the switching subsystems and time-varying delays. Some new stability criteria based on the related systems are derived, these criteria extend many models and relax some restrictions compared to previous work. Finally, we use two examples to verify the effectiveness of our study.
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