A new method for exponential stability of coupled reaction diffusion systems with mixed delays: Combining Razumikhin method with graph theory

作者：Li Wenxue^*; Zhang Xiaoqing; Zhang Chunmei

来源：Journal of the Franklin Institute, 2015, 352(3): 1169-1191.

DOI：10.1016/j.jfranklin.2014.12.012

This paper is concerned with a new method for exponential stability of coupled reaction diffusion systems with mixed delays (CRDSMD). In CRDSMD, the features of reaction diffusion systems and mixed delays systems are both taken into account. Based on the Razumikhin method and graph theory, several stability conditions are presented, including the Razumikhin-type theorem, the Lyapunov-type theorem and a sufficient criterion in the form of coefficient. As a subsequent result, the coupled reaction diffusion systems with discrete time-varying delay are also discussed, and a sufficient criterion in the form of coefficient is given to determine its exponential stability. Finally, a numerical example is provided to illustrate the effectiveness of the results developed.

• 出版日期2015-3
• 单位哈尔滨工业大学