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On global stability criterion of neural networks with continuously distributed delays. (English) Zbl 1141.93054
Summary: Based on the Lyapunov’s second method and the Linear Matrix Inequality (LMI) optimization approach, this paper presents a new sufficient condition for global asymptotic stability of the equilibrium point for a class of neural networks with discrete and distributed delays. The stability condition is expressed in terms of LMIs, which can be solved easily by various convex optimization algorithms. A numerical example is given to show the less conservatism and effectiveness of proposed method.
MSC:
93D20Asymptotic stability of control systems
92B20General theory of neural networks (mathematical biology)
90C25Convex programming
93C15Control systems governed by ODE
34D23Global stability of ODE
Software:
LMI toolbox