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ASME Press Select Proceedings

International Symposium on Information Engineering and Electronic Commerce, 3rd (IEEC 2011)

Editor
C. B. Povloviq
C. B. Povloviq
National Technical University of Ukraine
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C. W. Lu
C. W. Lu
Huangshi Institute of Technology
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ISBN:
9780791859759
No. of Pages:
562
Publisher:
ASME Press
Publication date:
2011

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 calculation is simplified, the criterion is easy for application.

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