Delay-dependent global robust stability criterion for neural networks with neutral-type time-varying delays

G Wang, W Chen, Yang Liu · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · 2010

Abstract The problem of global robust stability for neural networks with neutral-type time-varying delays is investigated in this paper. Neutral differential equations are used to construct this class of neural networks. The time-varying delay function is bounded, and it is not required to be continuously differentiable. A new delay-dependent global stability criterion is derived based on the Lyapunov-Krasovskii functional approach. The criterion is formulated in terms of a linear matrix inequality. Numerical examples are given to illustrate the validity of the proposed stability criterion.

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