Adaptive Q-S synchronization between coupled chaotic systems with stochastic perturbation and delay

Adaptive Q-S synchronization between coupled chaotic systems with stochastic perturbation and delay
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具有随机扰动和延迟的耦合混沌系统之间的自适应 Q-S 同步

DOI:
10.1016/j.apm.2011.10.029
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发表时间:
2012-07
影响因子:
5
通讯作者:
Zhao, Jiakun
Zhao, Jiakun
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhao, Jiakun

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本文研究了具有随机扰动、延迟和未知参数的耦合混沌(或超混沌)系统的自适应Q-S同步。基于随机微分方程的不变性原理,导出了两个随机混沌系统实现Q-S同步的充分条件。通过自适应控制技术,提出了控制律和相应的参数更新律,实现了非同构混沌(或超混沌)系统的随机Q-S同步。最后,给出了两个说明性的数值模拟,验证了所提方案的有效性。
This work investigates the adaptive Q–S synchronization of coupled chaotic (or hyper-chaotic) systems with stochastic perturbation, delay and unknown parameters. The sufficient conditions for achieving Q–S synchronization of two stochastic chaotic systems are derived based on the invariance principle of stochastic differential equation. By the adaptive control technique, the control laws and the corresponding parameter update laws are proposed such that the stochastic Q–S synchronization of non-identical chaotic (or hyper-chaotic) systems is to be obtained. Finally, two illustrative numerical simulations are also given to demonstrate the effectiveness of the proposed scheme.
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