Stability analysis for coupled systems with time delay on networks |
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| Authors: | Hao ChenJitao Sun |
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| Affiliation: | Department of Mathematics, Tongji University, Shanghai, China |
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| Abstract: | In this paper, the stability problem for some coupled systems with time delay on networks (CSDNs) is investigated. We provide a systematic method for constructing a global Lyapunov functional for CSDNs by using graph theory. The stability, uniform stability and global uniform stability of the systems are investigated. And by using the Lyapunov functional constructed, some sufficient conditions of stability are obtained. |
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| Keywords: | Coupled Systems Time delay Networks Graph theory Lyapunov functional |
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