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\(\mu \)-stability of impulsive neural networks with unbounded time-varying delays and continuously distributed delays. (English) Zbl 1215.93121

Summary: This paper is concerned with the problem of \(\mu\)-stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some \(\mu\)-stability criteria are derived by using the Lyapunov-Krasovskii functional method. Those criteria are expressed in the form of Linear Matrix Inequalities (LMIs), and they can easily be checked. A numerical example is provided to demonstrate the effectiveness of the obtained results.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
92B20 Neural networks for/in biological studies, artificial life and related topics
93C15 Control/observation systems governed by ordinary differential equations
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