Almost Sure Stability and Stabilization for Hybrid Stochastic Systems with Time-Varying Delays
Joint Authors
Yang, Hua
Shu, Huisheng
Kan, Xiu
Che, Yan
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-11
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The problems of almost sure (a.s.) stability and a.s.
stabilization are investigated for hybrid stochastic systems (HSSs) with time-varying delays.
The different time-varying delays in the drift part and in the diffusion part are considered.
Based on nonnegative semimartingale convergence theorem, Hölder’s inequality, Doob’s martingale inequality, and Chebyshev’s inequality, some sufficient conditions are proposed to guarantee that the underlying nonlinear hybrid stochastic delay systems (HSDSs) are almost surely (a.s.) stable.
With these conditions, a.s.
stabilization problem for a class of nonlinear HSDSs is addressed through designing linear state feedback controllers, which are obtained in terms of the solutions to a set of linear matrix inequalities (LMIs).
Two numerical simulation examples are given to show the usefulness of the results derived.
American Psychological Association (APA)
Yang, Hua& Shu, Huisheng& Kan, Xiu& Che, Yan. 2012. Almost Sure Stability and Stabilization for Hybrid Stochastic Systems with Time-Varying Delays. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001384
Modern Language Association (MLA)
Yang, Hua…[et al.]. Almost Sure Stability and Stabilization for Hybrid Stochastic Systems with Time-Varying Delays. Mathematical Problems in Engineering No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1001384
American Medical Association (AMA)
Yang, Hua& Shu, Huisheng& Kan, Xiu& Che, Yan. Almost Sure Stability and Stabilization for Hybrid Stochastic Systems with Time-Varying Delays. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001384
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001384