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\(p\)th moment exponential stability of stochastic PWM feedback systems with time-varying delays. (English) Zbl 1325.93055

Summary: This paper further studies the \(p\)th moment exponential stability of stochastic Pulse-Width-Modulated (PWM) feedback systems with distributed time-varying delays. We establish several globally exponential stability criteria for such PWM feedback systems by using Lyapunov-Krasovskii functional and then present an upper bound of the parameter of PWM when the system is stable and such system has stronger anti-interference performance than the system without time-varying delays. Furthermore, we present two examples to show the effectiveness and conservativeness of the theoretical results.

MSC:

93E15 Stochastic stability in control theory
93B52 Feedback control
62H10 Multivariate distribution of statistics
93D30 Lyapunov and storage functions
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