基于LMI的延迟混沌神经网络同步

R. Wu, Weiwei Zhang
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摘要

本文讨论了具有时变时滞的混沌神经网络的指数同步问题。基于李雅普诺夫稳定性理论和线性矩阵不等式(LMI),设计了驱动系统与响应系统同步的非线性反馈控制方案。所得到的充分条件是LMI形式的,因此更容易验证。通过数值仿真验证了该非线性控制方案的有效性。
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Synchronization of Delayed Chaotic Neural Networks by LMI
In the current paper, exponential synchronization is discussed for chaotic neural networks with time-varying delays. Based on Lyapunov stability theory and linear matrix inequality (LMI), a nonlinear feedback control scheme is designed to synchronize the drive system and the response one. The obtained sufficient conditions are in the forms of LMI, so much easier to verify. Moreover, numerical simulation shows the effectiveness of this nonlinear control scheme.
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