两个子周期间歇控制混沌系统的投影滞后同步  

Projective lag synchronization of chaotic systems via intermittent control with two sub-periods

作　　者：郑斌 马米花 蔡建平 ZHENG Bin;MA Mihua;CAI Jianping(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2020年第1期1-7,共7页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金资助项目(61603174);福建省自然科学基金项目(2019J01742)。

摘　　要：设计适当的间歇控制策略,研究有参数失配时滞混沌系统之间的投影滞后同步.与常用的单周期控制不同,采用的控制周期是双周期的,即一个完整的控制周期由两个子周期组成.利用Lyapunov稳定性理论,推导一些用代数不等式表示的同步判据,估计并分析了同步误差界.此外,还讨论影响误差界的主要因素,包括参数失配、时滞和传输延迟,并给出了一些推论.最后将得到的理论结果应用于具有时滞的蔡氏电路,数值模拟表明所提出的控制策略是有效的.Intermittent control strategy is used for achieving projective lag synchronization between two delayed chaotic systems with parameter mismatch.Different form the commonly used single-periodic control,the control period adopted is two-periodic,where a complete control period consists of two sub-periods.Some synchronization criteria in the form of algebraic inequalities are derived by way of Lyapunov stability theory,and the bound of synchronization error is estimated analytically.Furthermore,main factors influencing errors,including the parameter mismatch,time lag and transmission delay,are also discussed in several remarks and corollaries.Finally,a time-delay Chua's circuit system is taken as the simulation example,and the numerical results verify that the present method is valid.

关 键 词：投影滞后同步 时滞混沌系统 参数失配 两个子周期间歇控制 

分 类 号：O231.2[理学—运筹学与控制论]