Exponential synchronization of chaotic systems with time-varying delays and parameter mismatches via intermittent control.
Exponential synchronization of chaotic systems with time-varying delays and parameter mismatches via intermittent control.
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DOI：
10.1063/1.3541797
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发表时间：
2011-04
期刊：
影响因子：
2.9
通讯作者：
Shuiming Cai;Junjun Hao;Zengrong Liu
中科院分区：
文献类型：
--
作者：
Shuiming Cai;Junjun Hao;Zengrong Liu
利用周期间歇控制方法，研究了参数失配时变时滞耦合混沌系统的同步问题。利用与已有工作不同的方法，得到了一些新颖而实用的准同步判据，且所得结果不那么保守。特别是，本文对控制宽度提出了一个强约束，即控制宽度应大于现有文献所规定的时延。此外，我们的结果表明，同步判据取决于控制宽度与控制周期的比率，而不是控制宽度或控制周期。最后，给出了一些数值模拟，验证了理论结果的有效性。
This paper studies the synchronization of coupled chaotic systems with time-varying delays in the presence of parameter mismatches by means of periodically intermittent control. Some novel and useful quasisynchronization criteria are obtained by using the methods which are different from the techniques employed in the existing works, and the derived results are less conservative. Especially, a strong constraint on the control width that the control width should be larger than the time delay imposed by the current references is released in this paper. Moreover, our results show that the synchronization criteria depend on the ratio of control width to control period, but not the control width or the control period. Finally, some numerical simulations are given to show the effectiveness of the theoretical results.