Stability analysis of discrete-time switched stochastic non-autonomous systems with external inputs and time-varying delays under partially unstable subsystems

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 sub-systems 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.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This paper addresses the globally stochastic exponential input-to-state stability (ISS) of discrete-time switched stochastic systems with partially unstable subsystems under time-varying delays and external input. It proposes a solution using mode-dependent average dwell time and multiple Lyapunov-Krasovskii functional to overcome the influences caused by the partially unstable subsystems and time-varying delays. New stability criteria are derived based on related systems, extending previous work and relaxing some restrictions. The effectiveness of the study is verified through two examples.