摘要
基于脉冲微分方程的稳定性理论,研究了具有随机信号的脉冲作用下,超混沌复Lü系统的渐近稳定性.给出了确定性和随机脉冲作用下系统达到渐近稳定的判据.并且提出了在等距脉冲间隔下,系统达到稳定的区域估计值.通过数值算例,讨论了确定性脉冲和随机脉冲的异同点,并证实,此方法对于外界噪声是比较稳健的.
Based on the theory of impulsive differential equations, this paper studied the asymptotic hyperchaotic complex Lu system under the stochastic zation of the complex system via an impulsive method. impulsive signal. Some criteria were derived for And we also presented the estimate of the stable the equal impulsive intervals. Numerical simulations demonstrated the effectiveness of the theoretical stability of the stabili- regions for results andalso showed that the method was robust against the noise.
出处
《动力学与控制学报》
2013年第4期289-294,共6页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11172233
10932009)
西北工业大学基础研究基金资助项目(JC20110228)~~
关键词
稳定性
脉冲控制
超混沌复Lü系统
噪声
stability, impulsive control, hyperchaotic complex Lu system, noise