Abstract and Applied Analysis
Volume 2013 (2013), Article ID 175796, 12 pages
http://dx.doi.org/10.1155/2013/175796
Research Article

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

T. Botmart1,2 and W. Weera3

1Department of Mathematics, Srinakharinwirot University, Bangkok 10110, Thailand
2Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand
3Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand

Received 30 November 2012; Revised 9 February 2013; Accepted 18 February 2013

Academic Editor: Yanni Xiao

Copyright © 2013 T. Botmart and W. Weera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.