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Synchronization conditions for chaotic nonlinear continuous neural networks

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  • Hu, Jiming

Abstract

This paper deals with the synchronization problem of a class of chaotic nonlinear neural networks. A feedback control gain matrix is derived to achieve the state synchronization of two identical nonlinear neural networks by using the Lyapunov stability theory, and the obtained criterion condition can be verified if a certain Hamiltonian matrix with no eigenvalues on the imaginary axis. The new sufficient condition can avoid solving an algebraic Riccati equation. The results are illustrated through one numerical example.

Suggested Citation

  • Hu, Jiming, 2009. "Synchronization conditions for chaotic nonlinear continuous neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2495-2501.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2495-2501
    DOI: 10.1016/j.chaos.2008.09.026
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    References listed on IDEAS

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