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Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks

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  • Karimi, Hamid Reza
  • Maass, Peter

Abstract

This article aims to present a multiple delayed state-feedback control design for exponential H∞ synchronization problem of a class of delayed neural networks with multiple time-varying discrete delays. On the basis of the drive–response concept and by introducing a descriptor technique and using Lyapunov–Krasovskii functional, new delay-range-dependent sufficient conditions for exponential H∞ synchronization of the drive–response structure of neural networks are driven in terms of linear matrix inequalities (LMIs). The explicit expression of the controller gain matrices are parameterized based on the solvability conditions such that the drive system and the response system can be exponentially synchronized. A numerical example is included to illustrate the applicability of the proposed design method.

Suggested Citation

  • Karimi, Hamid Reza & Maass, Peter, 2009. "Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1125-1135.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1125-1135
    DOI: 10.1016/j.chaos.2008.04.051
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    References listed on IDEAS

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    Cited by:

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    2. Feng-Hsiag Hsiao, 2017. "Optimal fuzzy control of exponential synchronisation via genetic algorithm," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1569-1580, June.
    3. Feng-Hsiag Hsiao, 2016. "A neural-network-based exponential synchronisation for chaotic secure communication via improved genetic algorithm," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(13), pages 3149-3166, October.
    4. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.

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