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Exponential Stabilization of Neutral‐Type Neural Networks with Interval Nondifferentiable and Distributed Time‐Varying Delays

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  • W. Weera
  • P. Niamsup

Abstract

The problem of exponential stabilization of neutral‐type neural networks with various activation functions and interval nondifferentiable and distributed time‐varying delays is considered. The interval time‐varying delay function is not required to be differentiable. By employing new and improved Lyapunov‐Krasovskii functional combined with Leibniz‐Newton’s formula, the stabilizability criteria are formulated in terms of a linear matrix inequalities. Numerical examples are given to illustrate and show the effectiveness of the obtained results.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:101426
    DOI: 10.1155/2012/101426
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    References listed on IDEAS

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    1. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Stability criteria for uncertain neutral systems with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 650-657.
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    Cited by:

    1. 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).
    2. Xiaofeng Chen & Qiankun Song & Yurong Liu & Zhenjiang Zhao, 2014. "Global μ‐Stability of Impulsive Complex‐Valued Neural Networks with Leakage Delay and Mixed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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