A Passivity Based Synchronization for Chaotic Behavior in Nonlinear BlochEquations

• 来源期刊: 中国物理快报(英文版)
• 学科: 工学
• 关键词: 非线性方程组 混沌同步 混沌行为 Lyapunov理论 线性矩阵不等式 凸优化问题 LMI 控制器
• 年，卷（期）: 2010,（1）
• 页码范围: 56-59
• 页数: 4页
• 分类号: TP13 O241.7
• 语种: 英文

摘要

We propose a new passivity based synchronization scheme for chaotic behavior in nonlinear Bloch equations. Based on the Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the passivity based controller is presented to guarantee stable synchronization. The proposed controller can be obtained by solving a convex optimization problem represented by an LMI. A numerical example is given to demonstrate the effectiveness of the proposed synchronization scheme.