Exponential stabilization of chaotic systems with delay by periodically intermittent control.
作者： Chuandong Li , Xiaofeng Liao , Tingwen Huang
DOI: 10.1063/1.2430394
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摘要: This paper studies the exponential stabilization problem for a class of chaotic systems with delay by means periodically intermittent control. A unified stability criterion, together its simplified versions, is established using Lyapunov function and differential inequality techniques. suboptimal controller designed respect to general cost under assumption that control period fixed. Numerical simulations on two oscillators are presented verify theoretical results.
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sci-hub.se 参考文章(17)
Xing Huo Yu, G. Chen, Chaos control : theory and applications Springer. ,(2003)
Drumi Bainov, Pavel Simeonov, Integral Inequalities and Applications ,(1992)
Tao Yang, Impulsive Control Theory ,(2001)
Guanrong Chen, None, Controlling Chaos and Bifurcations in Engineering Systems CRC Press. ,(1999)
John Starrett, Control of chaos by occasional bang-bang. Physical Review E. ,vol. 67, pp. 036203- ,(2003) , 10.1103/PHYSREVE.67.036203
Kensuke Ikeda, Kenji Matsumoto, Study of a high-dimensional chaotic attractor Journal of Statistical Physics. ,vol. 44, pp. 955- 983 ,(1986) , 10.1007/BF01011917
Chuandong Li, Xiaofeng Liao, Xiaofan Yang, Tingwen Huang, Impulsive stabilization and synchronization of a class of chaotic delay systems. Chaos. ,vol. 15, pp. 043103- ,(2005) , 10.1063/1.2102107
Hongtao Lu, Chaotic attractors in delayed neural networks Physics Letters A. ,vol. 298, pp. 109- 116 ,(2002) , 10.1016/S0375-9601(02)00538-8
Thomas W. Carr, Ira B. Schwartz, Controlling high-dimensional unstable steady states using delay, duration and feedback Physica D: Nonlinear Phenomena. ,vol. 96, pp. 17- 25 ,(1996) , 10.1016/0167-2789(96)00011-5
H. A. Antosiewicz, A. Halanay, Differential Equations: Stability, Oscillations, Time Lags Mathematics of Computation. ,vol. 21, pp. 282- ,(1967) , 10.2307/2004201