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统一混沌系统的自适应控制同步 被引量:11

Adaptive control synchronization of a unified chaotic system
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摘要 基于Pecora-Carroll混沌同步原理和参数自适应控制策略,提出一种单参数统一混沌系统的自适应同步控制方法;推导出实现不同参数、不同初值的两统一混沌系统同步的参数自适应控制律和同步条件;研究了确定控制常数边界和范围的方法,并讨论了控制常数对同步性能的影响.理论分析和数值仿真表明,选择合适的控制常数,可实现两统一混沌系统的大范围渐近稳定同步. Based on Pecora-Carroll synchronization principle and parameter adaptive control method, the adaptive synchronization method for the unified chaotic system with a single parameter is proposed. The synchronization control law and conditions are presented. The synchronization area of the control constants and the relations between the control constants and the system synchronization performances are discussed. The theoretical studies and simulations show that the chaotic system is global asymptotic synchronization through choosing suitable control constants.
出处 《控制与决策》 EI CSCD 北大核心 2005年第2期207-209,213,共4页 Control and Decision
基金 湖南省自然科学基金项目(01JJY2110).
关键词 统一混沌系统 混沌同步 自适应控制 条件Lyapunov指数 Chaos theory Computer simulation Lyapunov methods Mathematical models Synchronization
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参考文献8

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