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Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties
Joint Authors
Yan, Zhiguo
Qi, Xingguang
Zhang, Guoshan
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-25
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper deals with the problem of robust stabilization of stochastic systems with time-delay and nonlinearuncertainties via memory state feedback.
Based on Lyapunov krasoviskii functional, some sufficient conditions on local (global)stabilization are given in terms of matrix inequalities.
In particular, these stabilizable conditions for a class of nonlinear stochastictime-delay systems are derived in the form of linear matrix inequalities, which have the advantage of easy computation.
Moreover, the corresponding results are further extended to the stochastic multiple time-delays systems.
Finally, an example is presented to show the superiority of memory state feedback controller to memoryless state feedback controller.
American Psychological Association (APA)
Yan, Zhiguo& Zhang, Guoshan& Qi, Xingguang. 2012. Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029526
Modern Language Association (MLA)
Yan, Zhiguo…[et al.]. Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties. Mathematical Problems in Engineering No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1029526
American Medical Association (AMA)
Yan, Zhiguo& Zhang, Guoshan& Qi, Xingguang. Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029526
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029526