摘要
应用脉冲控制的基本思想及李雅普诺夫(Lyapunov)函数方法对一类非线性动力系统的混沌控制,提出了采用指数稳定和非线性脉冲系统渐近稳定的一般准则来保证脉冲控制是全局渐近稳定的.刚体运动系统和Rucklidge系统实例验证了这种控制方法的有效性,理论和数值模拟结果均表明所提出的脉冲准则是有效的.
Applying the method of impulsive control and Lyapunov functions, some new general criteria exponential stability and asymptotical stability of nonlinear impulsive systems were established to ensure that the impulsive control is globally asymptotically stable. The effectiveness of the method was tested by linear feedback, rigid motion system, and Rueklidge system. Two illustrative examples, along with theoretical analysis and computer simulation results, show effectiveness and feasibility of the proposed methods.
基金
国家自然科学基金(10071033)
教育部高校青年教师奖资助(11111号)
南京人口学院基金资助
关键词
混沌
脉冲控制
稳定性
刚体运动系统
Rucklidge系统
chaos impulsive control
impulsive synchronization
stabilization
linear feedback rigid motion system
Rueklidge system
