An analysis of global exponential stability of neural networks with reaction-diffusion terms and distributed delays

Authors:
Zhenjiang Zhao;Deqian Xue;Qiankun Song
Affiliations:
Department of Mathematics, HuZhou Teachers College, Huzhou, Zhejiang 313000, China.;School of Information Engineering, HuZhou Teachers College, Huzhou, Zhejiang 313000, China.;Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China
Venue:
International Journal of Systems, Control and Communications
Year:
2010

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Abstract

A class of neural networks with reaction-diffusion terms and distributed delays is investigated. By constructing suitable Lyapunov functional, using M-matrix theory and some analysis techniques, some sufficient conditions have been given to ensure existence, uniqueness, and global exponential stability of equilibrium points of a class of neural networks with reaction-diffusion terms and distributed delays. Moreover, the exponential converging velocity index has been estimated, which depends on the delay kernel functions and system parameters. An example has been given to show the effectiveness of the obtained results.