Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The mean square BIBO stabilization is investigated for the stochastic control systems with time delays and nonlinear perturbations.
A class of suitable Lyapunov functional is constructed, combined with the descriptor model transformation and the decomposition technique of coefficient matrix; thus some novel delay-dependent mean square BIBO stabilization conditions are derived.
These conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using Matlab LMI Toolbox.
Finally, three numerical examples are given to demonstrate that the derived conditions are effective and much less conservative than those given in the literature.
American Psychological Association (APA)
Zhou, Xia& Zhong, Shouming. 2013. Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-482904
Modern Language Association (MLA)
Zhou, Xia& Zhong, Shouming. Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-482904
American Medical Association (AMA)
Zhou, Xia& Zhong, Shouming. Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-482904
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482904