含有未知参数的广义Lorenz系统的自适应投影同步

Adaptive Projective Synchronization of a Generalized Lorenz System with Unknown Parameters

研究了含有未知参数的广义Lorenz系统的自适应投影同步问题.对于参数完全未知的情形,提出了4种控制器设计策略,实现了两个广义Lorenz系统间的自适应投影同步,对于响应系统参数未知的情形,通过本文设计的控制器,可以实现广义Lorenz系统中两个拓扑不等价的系统之间的同步,同时未知参数可以被识别.数值仿真结果说明了方法的有效性.

The adaptive projective synchronization of a generalized Lorenz system（GLS） with unknown pa-rameters is studied. The system contains the Lorenz system, the Chen system, the Lti system and the unified system as its special cases. Four controlling strategies are proposed to realize synchronization with fully un-known parameters. For the response system with unknown parameters, through the authors＇ method, the synchronization of two topologically in-equivalent systems containing in the generalized system can be real- izedl meanwhile, the unknown parameters can be identified. Numerical simulations show the effectiveness of the authors＇ method.