Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch
Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch
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DOI：
10.1016/j.chaos.2005.01.027
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发表时间：
2005-11
影响因子：
7.8
通讯作者：
Xiaohong Zhang;X. Liao;Chuandong Li
中科院分区：
文献类型：
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作者：
Xiaohong Zhang;X. Liao;Chuandong Li
新的Lorenz和Chen系统之间具有连续周期切换的统一混沌系统是一个非自治的混沌系统，它具有对称性和不变性、耗散性、跟踪任意目标函数等性质.本文基于脉冲控制理论讨论了该系统的完全和滞后控制与同步问题.建立了连续周期开关系统全局渐近稳定的一般判据，特别是给出了连续周期开关混沌系统稳定、完全和滞后同步的简单充分条件。理论分析和数值仿真验证了这些方法的有效性和可行性。
The new unified chaotic system with continuous periodic switch between Lorenz and Chen systems is non-autonomous ones, which has many properties, such as symmetry and invariance, dissipative, tracking any target function etc. Control and synchronization of complete and lag for the system are discussed based on impulsive control theory in this paper. Some new general criteria for global asymptotical stability of continuous periodic switch system are established, and particularly some simple sufficient conditions are derived for stabilizing, complete and lag synchronizing chaotic system with continuous periodic switch. Theoretical analysis and numerical simulations are provided to show the effectiveness and feasibility of these methods.