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Chaos Synchronization of Nonlinear Bloch Equations Based on Input-to-State Stable Control

Chaos Synchronization of Nonlinear Bloch Equations Based on Input-to-State Stable Control
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摘要 在这份报纸,我们与外部骚乱在非线性的 Bloch 方程为混乱行为建议一个新 input-to-state 马厩(ISS ) 同步方法。第一次,基于 Lyapunov 理论和线性矩阵不平等(LMI ) 途径 ISS 同步控制器被介绍跳了不仅保证 asymptotic 得到同步而且为任何东西完成围住的同步错误骚乱。建议控制器能被解决 LMI 代表的一个凸的优化问题获得。模拟学习被介绍表明建议同步计划的有效性。 In this paper, we propose a new input-to-state stable (ISS) synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization controller is presented to not only guarantee the asymptotic synchronization but also achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme.
作者 Choon Ki Ahn
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第2期308-312,共5页 理论物理通讯(英文版)
关键词 输入到状态稳定 非线性方程组 混沌同步 稳定控制 LYAPUNOV理论 线性矩阵不等式 同步控制器 国际空间站 chaos synchronization, input-to-state stable (ISS) control, nonlinear Bloch equations, linear matrix inequality (LMI), Lyapunov theory
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