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Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time‐Varying Delays via Hybrid Feedback Control

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  • T. Botmart
  • W. Weera

Abstract

The problem of guaranteed cost control for exponential synchronization of cellular neural networks with interval nondifferentiable and distributed time‐varying delays via hybrid feedback control is considered. The interval time‐varying delay function is not necessary to be differentiable. Based on the construction of improved Lyapunov‐Krasovskii functionals is combined with Leibniz‐Newton′s formula and the technique of dealing with some integral terms. New delay‐dependent sufficient conditions for the exponential synchronization of the error systems with memoryless hybrid feedback control are first established in terms of LMIs without introducing any free‐weighting matrices. The optimal guaranteed cost control with linear error hybrid feedback is turned into the solvable problem of a set of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:175796
DOI: 10.1155/2013/175796
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