BIBO Stabilization of Discrete-Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations | Zendy

Xia Zhou | Zendy; Yong Ren | Zendy; Shouming Zhong | Zendy

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

Author(s) -

Xia Zhou,

Yong Ren,

Shouming Zhong

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/916357

Subject(s) - bibo stability , mathematics , control theory (sociology) , nonlinear system , bounded function , discrete time and continuous time , stability (learning theory) , lyapunov function , control (management) , mathematical analysis , computer science , statistics , physics , quantum mechanics , artificial intelligence , machine learning

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

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