International Symposium on Information Engineering and Electronic Commerce, 3rd (IEEC 2011)
35 Stability of a Class of Nonlinear Stochastic Large-Scale Systems with Time Delay
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The global exponential stability of a class of stochastic nonlinear interconnected large-scale systems with time delay was analyzed based on M-matrix theory, by constructing a vector V function. A criterion was obtained for global exponential stability of the systems by analyzing the stability of differential inequalities. It is concluded that a large-scale system with time delay is described as global exponential stable if the test matrix is an M-matrix, where the test matrix is constructed by employing the coefficient matrices of the system and the solutions of the Lyapunov equations which are interconnected with the system. Since the...