| Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control |
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| 引用本文： | 沈建和 陈树辉 蔡建平. Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control[J]. 中国物理快报, 2006, 23(6): 1406-1409 |
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| 作者姓名： | 沈建和 陈树辉 蔡建平 |
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| 作者单位： | Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10272117, the Natural Science Foundation of Guangdong Province under Grant No 04009738, and the Foundation of Advanced Research Center of Sun Yat-sen University under Grant No 04M6. |
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| 摘 要： |
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| 关 键 词： | 混沌同步准则 最优化 非线性换能器系统 线性态误差反馈控制 |
| 收稿时间： | 2006-01-17 |
| 修稿时间： | 2006-01-17 |
Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control |
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| SHEN Jian-He,CHEN Shu-Hui,CAI Jian-Ping. Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control[J]. Chinese Physics Letters, 2006, 23(6): 1406-1409 |
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| Authors: | SHEN Jian-He CHEN Shu-Hui CAI Jian-Ping |
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| Affiliation: | Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275 |
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| Abstract: | 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. |
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| Keywords: | 05.45.Xt 05.45.Gg |
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