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Stabilization Control for Linear Switching Stochastic Systems Against Time-Delay in Communication Ch

本站小编 哈尔滨工业大学/2019-10-23

Stabilization Control for Linear Switching Stochastic Systems Against Time-Delay in Communication Channel

Dongfang Lv,Shen Cong

(School of Mechanical & Electrical Engineering, Heilongjiang University, Harbin 150080, China)



Abstract:

The paper is concerned with stabilization problem for a class of stochastic switching systems with time-delay in the detection of switching signal. By using binomial model, Poisson process, and Wiener process to describe time-delay, switching signal, and exogenous disturbance, respectively, the system under investigation is entirely set in a stochastic framework. The influence of the random time-delay is combined into reconstructing the switching signal of overall closed-loop system and changes the distribution property of switching points. Therefore, based on the asymptotical behaviors of Poisson processes and Wiener processes, the almost surely exponential stability conditions are established. Furthermore, a design methodology is posed for solving the stabilization control.

Key words:  switching systems  stochastic systems  random switching  almost sure stability  stabilization

DOI:10.11916/j.issn.1005-9113.2015.05.017

Clc Number:TP72

Fund:


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