Master–slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control
Master–slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control
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DOI：
10.1016/j.jsv.2006.01.038
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发表时间：
2006-08
影响因子：
4.7
通讯作者：
Xiaofeng Wu;Xiaofeng Wu;Jianping Cai;Muhong Wang
中科院分区：
文献类型：
--
作者：
Xiaofeng Wu;Xiaofeng Wu;Jianping Cai;Muhong Wang
研究了线性状态误差反馈控制器耦合的两个完全相同的非自治水平平台系统的全局混沌同步问题。基于线性时变系统稳定性理论和Lyapunov直接方法，给出了全局混沌同步的充分判据，其中与一般耦合矩阵有关的判据首次被证明，并应用于与某些特殊耦合矩阵有关的判据。在实例中，根据所得到的准则设计了耦合强度，并验证了混沌同步的现象。分析和数值验证了基于Lyapunov直接方法的同步判据比基于线性时变系统稳定性理论的同步判据更精确。
Global chaos synchronization of two identical non-autonomous horizontal platform systems coupled by linear state error feedback controller is investigated. The sufficient criteria for global chaos synchronization are deduced based on the stability theory of linear time-varied systems and Lyapunov's direct method, of which, the criteria related to general coupling matrix are first proved and applied to derive the ones related to some special coupling matrices. In the examples, the coupling strengths are designed by the obtained criteria and the appearances of chaos synchronization are verified. It is analytically and numerically examined that the synchronization criteria based on Lyapunov's direct method are sharper than the criteria based on the stability theory of linear time-varied systems.