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Boundedness and global exponential stability for generalized Cohen–Grossberg neural networks with variable delay. (English) Zbl 1090.92004
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.
92B20General theory of neural networks (mathematical biology)
68T05Learning and adaptive systems
34K20Stability theory of functional-differential equations
34D23Global stability of ODE
34K60Qualitative investigation and simulation of models