一类分数阶超混沌系统的修正函数投影同步

Modified Function Projective Synchronization of A Class of Fractional-order Hyperchaotic Systems

对一类具有未知参数的分数阶超混沌系统进行研究,当系统参数分别取某一定值时,系统表现出混沌性态.通过构造适当的响应系统,设计了一种自适应广义投影同步的控制方案.选取合适的控制器以及自适应控制率,利用分数阶微分系统的稳定性理论,证明了驱动系统和响应系统最终实现自适应广义投影同步,并可以对不确定参数进行估计.最后,利用Adams-Bashforth-Moultom算法,对文中的结论进行数值仿真,其结果说明了该方法的有效性和可行性.

Modified function projective synchronization of a class of fractional-order hyperchaotic systems with uncertain parameters are investigated in this paper.The chaos behavior is displayed when the parameters are specified as certain fixed values.A controlling scheme of adaptive modified function projective synchronization is designed by structuring a suitable response system.Based on stability theory of the fractional-order differential systems,it is concluded that master system and response system arrive to adaptive modified function projective synchronization by choosing appropriate controller and adaptive law,and the uncertain parameters of master system could be estimated.Finally,an illustrative example with simulations via Adams-Bashforth-Moultom algorithm is used to demonstrate the validity and feasibility of the proposed results.