NDLI: New delay-dependent stability criteria for linear stochastic systems with time-varying delay

Content Provider	IEEE Xplore Digital Library
Author	Jianjiang Yu Kanjian Zhang Shumin Fei
Copyright Year	2009
Description	Author affiliation: Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing 210096, China (Jianjiang Yu) \|\| School of Automation, Southeast University, Nanjing 210096, China (Kanjian Zhang; Shumin Fei)
Abstract	In this paper, the problem of the stability for a class of stochastic systems with time-varying delay is investigated. By dividing the delay interval into multiple segments and choosing different weighting matrices in the new Lyapunov-Krasovskii functional, the delay-dependent sufficient criterion is derived in terms of linear matrix inequalities (LMIs). Neither model transformations nor bounding techniques for cross terms is employed, so the derived criterion is less conservative than the most existing results. Meanwhile, the computational complexity of the obtained stability conditions is reduced because less variables are involved. A numerical example is given to show the application of the proposed method.
Starting Page	7175
Ending Page	7179
File Size	469300
Page Count	5
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5399986
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability criteria Stochastic systems Time varying systems Delay systems Symmetric matrices Linear matrix inequalities Delay effects Robust stability Control systems Control engineering education
Content Type	Text
Resource Type	Article

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