摘要: |
采用模糊脉冲方法实现分数阶混沌系统的同步,两种不同的方法被用来判定分数阶误差系统稳定,一个是构造分数阶判定函数,另一个是采用Lyapunov第二方法,并得出相对应的同步条件;在证明中应用分数阶微积分和分数阶微分方程的性质;最后选取分数阶Chen系统和Qi系统进行数值模拟验证。 |
关键词: 分数阶 混沌系统 模糊脉冲同步 |
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Study on the Synchronization of Fractional Order Chaos by Fuzzy Pulse Method |
CHEN Hong lin, ZHANG Xiao hong, YANG Dan, ZHANG Xing peng
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Abstract: |
Fuzzy pulse method is used to realize the synchronization of fractional order chaotic system. Two different methods are used to determine the stability of fractional order error system, one is the construction of fractional order determination function, the other is the Lyapunov second method, and the corresponding synchronization conditions are obtained. The properties of fractional order calculus and fractional order differential equations are used in proof, and finally the fractional order Chen system and Qi system are selected to verify the numerical simulation. |
Key words: fractional order chaotic system fuzzy impulsive synchronization |