Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays
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 so...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/586095 |
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| _version_ | 1849692425744809984 |
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| author | Xia Zhou Shouming Zhong |
| author_facet | Xia Zhou Shouming Zhong |
| author_sort | Xia Zhou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-edaaf14c65f347d5b4c1668fb7674fdd |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-edaaf14c65f347d5b4c1668fb7674fdd2025-08-20T03:20:43ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/586095586095Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time DelaysXia Zhou0Shouming Zhong1School of Mathematics and Computational Science, Fuyang Teachers College, Fuyang, Anhui 236037, ChinaCollege of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaThe 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.http://dx.doi.org/10.1155/2013/586095 |
| spellingShingle | Xia Zhou Shouming Zhong Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays Journal of Applied Mathematics |
| title | Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays |
| title_full | Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays |
| title_fullStr | Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays |
| title_full_unstemmed | Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays |
| title_short | Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays |
| title_sort | coefficient matrix decomposition method and bibo stabilization of stochastic systems with time delays |
| url | http://dx.doi.org/10.1155/2013/586095 |
| work_keys_str_mv | AT xiazhou coefficientmatrixdecompositionmethodandbibostabilizationofstochasticsystemswithtimedelays AT shoumingzhong coefficientmatrixdecompositionmethodandbibostabilizationofstochasticsystemswithtimedelays |