一类超混沌系统的全局有限时间同步与全局渐近同步

Global finite-time synchronization and globally asymptotical synchronization of a class of hyperchaotic systems

为了给超混沌系统在保密通信中的应用提供理论支撑,研究了一类含交叉项、立方项和常数项的超混沌系统的全局有限时间同步和全局渐近同步问题。首先,采用广义线性状态误差反馈控制器建立了该类超混沌系统的两个有限时间同步架构,应用有限时间稳定性理论和代数不等式技巧证明了该类超混沌系统的有限时间同步定理;然后,再将该定理应用于超混沌Rabinovich系统,进一步证明和优化了一些有限时间同步条件;最后,通过实例仿真,对超混沌Rabinovich系统的有限时间同步和渐近同步进行了比较,验证了所得结果的有效性。

In order to support the application of hyperchaotic system in secure communication,the global finite-time and globally asymptotical synchronization of a class of hyperchaotic systems with crossing,cubic and constant terms were studied.The generalized linear state error feedback controller was introduced to establish the master-slave finite-time synchronization scheme of two hyperchaotic systems.Then,by using the theory of finite-time stability and the technique of algebraic inequality,a finite-time synchronization theorem was proved,which was then applied to the hyperchaotic Rabino-vich system and some finite-time synchronization conditions were further proved and optimized.Finally,the finite-time synchronization and asymptotical synchronization of the hyperchaotic Rabinovich systems were simulated and compared by a numerical example,and the validity of the results was thus verified.