Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control
Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control
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DOI：
10.1088/0256-307x/23/6/014
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发表时间：
2006
影响因子：
3.5
通讯作者：
Shen Jian-He;Chen Shu-Hui;Cai Jian-Ping
中科院分区：
文献类型：
--
作者：
Shen Jian-He;Chen Shu-Hui;Cai Jian-Ping
利用线性状态误差反馈控制方法研究了两个非线性传感器系统的全局混沌同步。利用Gerschgorin圆盘定理和线性时变系统的稳定性理论，首次导出了系统全局混沌同步的充分判据。然后，从降低耦合系数下界的角度出发，利用基于Gerschgorin圆盘定理本身和基于Lyapunov直接法的两种方法对该充分判据进行了进一步优化。最后，从理论上比较了两种优化准则。
Global chaos synchronization of two identical nonlinear transducer systems is investigated via linear state error feedback control. The sufficient criterion for global chaos synchronization is derived firstly by the Gerschgorin disc theorem and the stability theory of linear time-varied systems. Then this sufficient criterion is further optimized in the sense of reducing the lower bounds of the coupling coefficients with two methods, one based on Gerschgorin disc theorem itself and the other based on Lyapunov direct method. Finally, two optimized criteria are compared theoretically.