应用脉冲控制的基本思想和李雅普诺夫(Lyapunov)函数方法Rucklidge系统进行混沌控制,提出了指数稳定和非线性脉冲系统的渐进稳定的一般准则来保证脉冲控制是全局渐进稳定的。理论证明和数值模拟均表明所提出的脉冲准则是有效的.脉冲控制Rucklidge系统的平凡解是全局指数稳定的。
Applying the method of impulsive control and Lyapunov functions, some new general criteria exponential stability and asymptotical stability of nonlinear impulsive systems are established to guarantee the impulsive control globally asymptotically stable. The effectiveness of the method is tested by Rucklidge system. A illustrative example, along with theoretical analysis and computer simulation results, is finally included to visualize the effectiveness and feasibility of the developed methods.