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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |