BIBO Stabilization of Discrete-Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations
Keyword(s):
The problem of bounded-input bounded-output (BIBO) stabilization in mean square for a class of discrete-time stochastic control systems with mixed time-varying delays and nonlinear perturbations is investigated. Some novel delay-dependent stability conditions for the previously mentioned system are established by constructing a novel Lyapunov-Krasovskii function. These conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using MATLAB LMI Toolbox. Finally, a numerical example is given to illustrate the validity of the obtained results.
2015 ◽
Vol 93
(4)
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pp. 398-408
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2014 ◽
Vol 2014
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pp. 1-7
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Keyword(s):
2011 ◽
Vol 228-229
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pp. 153-157
2016 ◽
Vol 40
(3)
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pp. 712-718
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2017 ◽
Vol 2017
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pp. 1-13
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