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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.

Suggested Citation

  • T. Botmart & W. Weera, 2013. "Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time‐Varying Delays via Hybrid Feedback Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:175796
    DOI: 10.1155/2013/175796
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    References listed on IDEAS

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    1. Park, Ju H. & Cho, Hyun J., 2007. "A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 436-442.
    2. Li, Tao & Fei, Shu-min & Zhang, Kan-jian, 2008. "Synchronization control of recurrent neural networks with distributed delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 982-996.
    3. Park, Ju H., 2008. "On global stability criterion of neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 444-449.
    4. W. Weera & P. Niamsup, 2012. "Exponential Stabilization of Neutral-Type Neural Networks with Interval Nondifferentiable and Distributed Time-Varying Delays," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-21, March.
    5. W. Weera & P. Niamsup, 2012. "Exponential Stabilization of Neutral‐Type Neural Networks with Interval Nondifferentiable and Distributed Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Ting Lei & Qiankun Song & Zhenjiang Zhao & Jianxi Yang, 2013. "Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time‐Varying Delays via Sampled‐Data Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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