Adaptive Exponential Synchronization of Non-AutonomousChaotic Systems With Uncertain Parameters
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摘要: 针对参数不确定非自治混沌系统,研究了指数同步问题。给出了自适应控制器的构造方法,并运用Lyapunov稳定性定理证明了在该控制器下的误差系统是指数稳定的,且可以通过调整控制参数控制同步时间。最后,利用MATLAB软件对两个含有不确定参数的非自治混沌系统进行了数值仿真,验证了所提出方法的有效性和正确性.Abstract: The exponential synchronization of non-autonomous chaotic systems with uncertain parameters was studied. The adaptive controller was designed. Based on the Lyapunov stability theory, the exponential stability of the error system was proved. Furthermore, the synchronization time was controlled through adjustment of the control parameters. Numerical simulations of 2 non-autonomous chaotic systems with uncertain parameters were presented to illustrate the ability and effectiveness of the proposed method.
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Key words:
- non-autonomous system /
- chaos /
- adaptive control /
- uncertain parameter /
- exponential synchronization
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