Boundedness and global exponential stability for generalized Cohen–Grossberg neural networks with variable delay. (English) Zbl 1090.92004

Jiang, Minghui; Shen, Yi; Liao, Xiaoxin

Appl. Math. Comput. 172, No. 1, 379-393 (2006).

Summary: A generalized Halanay inequality is established, and the boundedness of generalized Cohen-Grossberg neural networks [M. A. Cohen and S. Grossberg, IEEE Trans. Syst. Man Cybern. 13, 815–826 (1983; Zbl 0553.92009)] is investigated. By applying the generalized Halanay inequality and Lyapunov functional methods, new sufficient conditions are obtained ensuring the global exponential stability of solutions of generalized Cohen-Grossberg neural networks with variable delay. Three examples are also given for illustration.

MSC:

92B20	Neural networks for/in biological studies, artificial life and related topics
68T05	Learning and adaptive systems in artificial intelligence
34K20	Stability theory of functional-differential equations
34D23	Global stability of solutions to ordinary differential equations
34K60	Qualitative investigation and simulation of models involving functional-differential equations

Keywords:

Cohen-Grossberg neural networks; Global exponential stability; Halanay inequality; Dini derivative

Citations:

Zbl 0553.92009

References:

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