Riccati Equations and Delay-Dependent BIBO Stabilization of Stochastic Systems with Mixed Delays and Nonlinear Perturbations | Zendy

Xia Zhou | Zendy; Shouming Zhong | Zendy

Open Access

Riccati Equations and Delay-Dependent BIBO Stabilization of Stochastic Systems with Mixed Delays and Nonlinear Perturbations

Author(s) -

Xia Zhou,

Shouming Zhong

Publication year - 2010

Publication title -

advances in difference equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.67

H-Index - 51

eISSN - 1687-1847

pISSN - 1687-1839

DOI - 10.1155/2010/494607

Subject(s) - bibo stability , nonlinear system , mathematics , ordinary differential equation , riccati equation , control theory (sociology) , partial differential equation , delay differential equation , mathematical analysis , differential equation , computer science , physics , control (management) , quantum mechanics , artificial intelligence

The mean square BIBO stability is investigated for stochastic control systems with mixed delays and nonlinear perturbations. The system with mixed delays is transformed, then a class of suitable Lyapunov functionals is selected, and some novel delay-dependent BIBO stabilization in mean square criteria for stochastic control systems with mixed delays and nonlinear perturbations are obtained by applying the technique of analyzing controller and the method of existing a positive definite solution to an auxiliary algebraic Riccati matrix equation. A numerical example is given to illustrate the validity of the main results. Copyright 2010 Xia Zhou and Shouming Zhong.

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