Optimal Synchronization of a Memristive Chaotic Circuit
Optimal Synchronization of a Memristive Chaotic Circuit
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DOI：
10.1142/s0218127416500930
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发表时间：
2016-06
期刊：
影响因子：
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通讯作者：
M. Kountchou;P. H. L. Fotso;S. Bowong;H. Fotsin;J. Kurths
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文献类型：
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作者：
M. Kountchou;P. H. L. Fotso;S. Bowong;H. Fotsin;J. Kurths
研究了两个相同忆阻混沌系统的最优同步问题。我们首先研究了具有简单拓扑结构的忆阻振荡器的一些基本动力学性质和行为。提出了一种电子电路（模拟仿真器）来研究系统的动态行为。研究了一种基于能控性函数方法的混合代价泛函的最优同步策略。一个有限的地平线显式计算，使混沌同步实现在一个既定的时间。数值仿真验证了该同步策略的有效性。最后给出了完整的主从控制器系统的Pspice模拟电路实现，验证了该方案的可行性。
This paper deals with the problem of optimal synchronization of two identical memristive chaotic systems. We first study some basic dynamical properties and behaviors of a memristor oscillator with a simple topology. An electronic circuit (analog simulator) is proposed to investigate the dynamical behavior of the system. An optimal synchronization strategy based on the controllability functions method with a mixed cost functional is investigated. A finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master-slave-controller systems is also presented to show the feasibility of the proposed scheme.