中国物理B ›› 2012, Vol. 21 ›› Issue (6): 60507-060507.doi: 10.1088/1674-1056/21/6/060507
付士慧a, 陆启韶b, 杜莹c
Fu Shi-Hui(付士慧)a)†, Lu Qi-Shao(陆启韶)b), and Du Ying(杜莹)c)
摘要: Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control is investigated. The chaotic systems are redesigned by using the generalized Hamiltonian systems and observer approach. Based on Lyapunov's stability theory, linear and nonlinear feedback control of adaptive H∞ synchronization is established in order to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance on an H∞-norm constraint. Adaptive H∞ synchronization of chaotic systems via three kinds of control is investigated with applications to Lorenz and Chen systems. Numerical simulations are also given to identify the effectiveness of the theoretical analysis.
中图分类号: (Synchronization; coupled oscillators)