量子电子学报, 2004, 21 (1): 39, 网络出版: 2006-05-15
用李雅谱诺夫指数配置法控制统一混沌系统
Controlling a Unified Chaotic System by Collocating the Lyapunov Exponents
量子光学 统一混沌系统 李雅谱诺夫指数 控制混沌 Jacobi矩阵 quantum optics unified chaotic system Lyapunov exponent controlling chaos Jacobian matrix
摘要
解析设计控制器,通过配置相应的李雅谱诺夫指数,使统一混沌系统趋于预期点.由于受控后系统李雅谱诺夫指数具有先知性,因此,我们可以根据需要改变李雅谱诺夫指数的大小来控制系统收敛速度.设计还表明,受控的统一混沌系统的收敛情况与参数无关.
Abstract
An approach, which forces a unified chaotic system to the expected point by analytically designing the controller to collocate the Lyapunov exponents, has been proposed. Because Lyapunov exponents of the controlled system are prophetic, the convergence rate can be controlled by changing the Lyapunov exponents. Result shows that the convergence of a controlled unified system is independent of the parameter.
李国辉, 雷云逸, 徐得名, 周世平. 用李雅谱诺夫指数配置法控制统一混沌系统[J]. 量子电子学报, 2004, 21(1): 39. 李国辉, 雷云逸, 徐得名, 周世平. Controlling a Unified Chaotic System by Collocating the Lyapunov Exponents[J]. Chinese Journal of Quantum Electronics, 2004, 21(1): 39.