Abstract and Applied Analysis

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

T. Botmart and W. Weera

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 175796, 12 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511800

Digital Object Identifier
doi:10.1155/2013/175796

Mathematical Reviews number (MathSciNet)
MR3035388

Zentralblatt MATH identifier
1271.93064

Citation

Botmart, T.; Weera, W. Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control. Abstr. Appl. Anal. 2013 (2013), Article ID 175796, 12 pages. doi:10.1155/2013/175796. https://projecteuclid.org/euclid.aaa/1393511800


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