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Robust stability of discrete-time LPD neural networks with time-varying delay. (English) Zbl 1221.93216
Summary: This paper presents a new approach to the robust stability of discrete-time LPD neural networks with time-varying delay and with normed bounded uncertainties as well as polytopic type uncertainties. Based on Lyapunov stability theory and the S-procedure, we derive robust stability criteria in terms of linear matrix inequalities (LMI) which are solvable by several available algorithms. We show that some of the existing results on robust stability of neural networks are corollaries of main results of this paper. Numerical examples are given to illustrate the effectiveness of our theoretical results.
##### MSC:
 93D09 Robust stability of control systems 34K20 Stability theory of functional-differential equations 92B20 General theory of neural networks (mathematical biology)
##### References:
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