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Global asymptotic stability of high-order Hopfield type neural networks with time delays. (English) Zbl 1045.37056
Summary: This paper studies the global asymptotic stability of a class of high-order Hopfield-type neural networks with time delays. By utilizing Lyapunov functionals, we obtain some sufficient conditions for the global asymptotic stability of the equilibrium point of such neural networks in terms of linear matrix inequality. Numerical examples are given to illustrate the advantages of our approach.
MSC:
37N20Dynamical systems in other branches of physics
34D23Global stability of ODE
82C32Neural nets (statistical mechanics)
68T05Learning and adaptive systems
94A08Image processing (compression, reconstruction, etc.)
94A12Signal theory (characterization, reconstruction, filtering, etc.)