NDLI: On exponential stability for linear switched stochastic systems: Multiple Lyapunov functions approach

Content Provider	IEEE Xplore Digital Library
Author	Cong Shen Jiang Haifeng Zhang Haitao Huang Yanyan
Copyright Year	2011
Description	Author affiliation: School of Automation, Nanjing University of Science and Technology, 210094, China (Jiang Haifeng) \|\| School of Automation, Southeast University, Nanjing 210096, China (Zhang Haitao) \|\| School of Mechanical & Electrical Engineering, Heilongjiang University, Harbin 150080, China (Cong Shen; Huang Yanyan)
Abstract	We are interested in characterizing the effect of noise perturbation on the stability of switched systems. To this end, we extend the multiple Lyapunov functions approach to the linear Itô stochastic switched systems and make use of Itô formula to get almost sure exponential stability conditions. Furthermore, subsystem's state-feedback control design is addressed aiming at making the closed-loop system almost sure exponentially stable, which is governed by some specified switching signal. An illustrative example is given to show the effectiveness of the results.
Starting Page	1749
Ending Page	1752
File Size	125468
Page Count	4
File Format	PDF
ISBN	9781457706776
ISSN	21612927
e-ISBN	9789881725592
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-22
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Chinese Assoc of Automati
Subject Keyword	Switched systems Multiple Lyapunov functions Switching frequency Stability criteria Indium tin oxide Switches Almost sure exponential stability Switched stochastic systems Lyapunov methods
Content Type	Text
Resource Type	Article

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