Stability of Coupled Impulsive Markovian Jump Reaction-Diffusion Systems on Networks

作者：Li Yanbo; Kao Yonggui^*

来源：Journal of Systems Science and Complexity, 2016, 29(5): 1269-1280.

DOI：10.1007/s11424-016-4280-8

• Coupled stochastic reaction-diffusion systems
• impulsive
• Markovian switching
• networks
• stability

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.

• 出版日期2016-10
• 单位哈尔滨工业大学; 南宁师范大学