【摘要】 与三维混沌系统相比，超混沌Lü系统具有更复杂的动力学性能，对超混沌Lü系统进行平衡控制和同步控制。根据超混沌Lü系统的动力学方程，设计单一的控制器进行平衡控制，系统的变量渐进趋近于零。然后，对于不同初始状态的两个超混沌Lü系统，设计单一的控制器进行同步控制,系统的误差信号渐进收敛到零。最后，采用MATLAB软件对设计的单一控制器进行了数值仿真，并对结果进行分析。仿真结果表明，设计的单一控制器比较简单，能够实现超混沌Lü系统的平衡控制和同步控制。更多还原

【Abstract】 Compared with three-dimensional chaotic systems, hyperchaotic Lüsystems have more complex dynamic properties. Balance control and synchronization control are applied to hyperchaotic Lü systems.According to the dynamic equation of the hyperchaotic Lü system, a single controller is designed for balance control, and the system variables gradually approach zero. Then a single controller is designed for synchronous control of two hyperchaotic Lü systems with different initial states, and the error signals asymptotically converge to zero.Finally, the designed single controller was numerically simulated using MATLAB software and the results were analyzed. The simulation results show that the designed single controller is relatively simple and easy to implement, and can achieve balance control and synchronization control of hyperchaotic Lüsystems.更多还原