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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Dongfang Lv,Shen Cong.Stabilization Control for Linear Switching Stochastic Systems Against Time-Delay in Communication Channel[J].Journal of Harbin Institute Of Technology(New Series),2015,22(5):110-115.DOI:10.11916/j.issn.1005-9113.2015.05.017.
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Stabilization Control for Linear Switching Stochastic Systems Against Time-Delay in Communication Channel
Author NameAffiliation
Dongfang Lv School of Mechanical ＆ Electrical Engineering, Heilongjiang University, Harbin 150080, China 
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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