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

Thongchai Botmart | Zendy; Wajaree Weera | Zendy

Open Access

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

Author(s) -

Thongchai Botmart,

Wajaree Weera

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/175796

Subject(s) - control theory (sociology) , mathematics , interval (graph theory) , synchronization (alternating current) , weighting , differentiable function , artificial neural network , lyapunov function , feedback control , control (management) , exponential function , set (abstract data type) , computer science , topology (electrical circuits) , nonlinear system , combinatorics , artificial intelligence , machine learning , medicine , mathematical analysis , physics , quantum mechanics , control engineering , engineering , radiology , programming language

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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