Impulsive synchronization of a class of chaotic systems

Yang Fang, Kang Yan, Kelin Li
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引用次数: 15

Abstract

This paper deals with the impulsive synchronization problem of a class of chaotic systems. By employing the comparison principle and the linear matrix inequalities approach, some less conservative and easily verified sufficient conditions for impulsive synchronization of this class of chaotic systems are derived, these new sufficient conditions can be applied to analyze the impulsive synchronization of the Chua's oscillators. Moreover, the numerical simulation of Chua's oscillators under impulsive control shows the effectiveness of the proposed theory, and obtains better estimation of the boundary of the stable region than the existing approaches.
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一类混沌系统的脉冲同步
研究了一类混沌系统的脉冲同步问题。利用比较原理和线性矩阵不等式方法,导出了该类混沌系统脉冲同步的一些保守性较低且易于验证的充分条件,这些新的充分条件可用于分析蔡氏振子的脉冲同步问题。此外,脉冲控制下的Chua振子的数值模拟表明了该理论的有效性,并得到了比现有方法更好的稳定区域边界估计。
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