Global stability of cellular neural networks with constant and variable delays

Authors:
Xue Mei Li;Li Hong Huang;Huiyan Zhu
Affiliations:
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People's Republic of China;Department of Mathematics, Nanhua University, Hengyang, Hunan 421001, People's Republic of China
Venue:
Nonlinear Analysis: Theory, Methods & Applications
Year:
2003

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Abstract

This paper gives new conditions ensuring global asymptotic stability and global exponential stability for cellular neural networks with constant delay and variable delay, respectively. These conditions are derived by using the essence of piecewise linearity of the output function of cellular neural networks and by constructing Lyapunov functions and functionals. Furthermore, these conditions are significantly weaker than those given in existing literature.