AUTHORS: Charuwat Chantawat, Thongchai Botmart, Wajaree Weera

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ABSTRACT: This paper is concerned the problem of H∞ control for neural networks with mixed time-varying delays which comprising different interval and distributed time-varying delays via hybrid feedback control. The interval and distributed time-varying delays are not necessary to be differentiable. The main purpose of this research is to estimate exponential stability of neural network with H∞ performance attenuation level γ. The key features of the approach include the introduction of a new Lyapunov-Krasovskii functional with triple integral terms, the employment of a tighter bounding technique, some slack matrices and newly introduced convex combination condition in the calculation, improved delay-dependent sufficient conditions for the H∞ control with exponential stability of the system are obtained in terms of linear matrix inequalities (LMIs). The results of this paper complement the previously known ones. Finally, a numerical example is presented to show the effectiveness of the proposed methods.

KEYWORDS: PNeural networks, Exponential stability, H∞ control, Hybrid feedback control.

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