BIBO Stabilization of Discrete‐Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations

Xia Zhou, Yong Ren and Shouming Zhong

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/916357

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:916357

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