Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks |
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| Authors: | Yanbo Li Yonggui Kao |
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| Affiliation: | 1.School of Mathematical Sciences,Guangxi Teachers Education University,Nanning,China;2.Department of Mathematics,Harbin Institute of Technology (Weihai),Weihai,China |
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| Abstract: | This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks (CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established. |
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