pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time‐Varying Delays

Abstract

This paper further studies thepth 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.

Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays

“…To the best of the author's knowledge, there are a few (if any) results for the stability analysis of the critical case of PWM systems with time-varying delays and stochastic perturbations, most of the existing work only considers one condition [7,8,15]. In the present paper, we try to make a contribution to this issue.…”

“…A growing number of scholars are devoting time to the PWM feedback systems; meanwhile a set of stability results has been established by a variety of methods [4][5][6][7][8][9][10][11][12]. Also, lots of scholars have researched some systems with delays [7,[13][14][15][16][17][18][19]. In [15], the authors investigated robust exponential stability and delayed-state-feedback stabilization of uncertain impulsive stochastic systems with time-varying delays.…”

“…It is noted that the linear plant in this paper has one and only one pole at origin, and the rest of the poles are in the left side of the complex plane, which is more representative and more universal. Based on the references [7,13], the present paper will further study the stability of PWM feedback systems with timevarying delays and establish several new stability criteria. In Section 2, we give some definitions and lemmas.…”

p th moment consensus of multi‐agent systems with relative state‐dependent measurement noises and time delays

“…The researchers have made some efforts on the p th moment consensus of the system [36–41]. The issue of the p th moment exponential stability of the stochastic recurrent neural network with time‐varying delays was investigated in [36–38]. Lei et al .…”