Adaptive synchronization of different chaotic systems with fully unknown parameters

Review article on adaptive synchronization of chaotic systems with unknown parameters

“…Comparing (19) with (16) and also (17) and (18) with (20), it is not difficult to show that they are equal to each other. In the other example, that is, the synchronization of the LS system and the Chen system, again we can easily show that the proposed method in [12] is obtained by the Theorem.…”

“…In the first example of [16], the adaptive synchronization of the 3D Lorenz and the Chen systems has been investigated. The Lorenz and the Chen systems are considered as follows:…”

“…The asymptotical stability of the closed loop systems in [15] was also guaranteed by the Lyapunov stability theory. Chen et al [16] considered some chaotic systems, including the Lorenz system, the Chen system, the Lu system and the Rossler system, with fully unknown parameters and proposed adaptive synchronization method for them. A new adaptive method for synchronization of the hyperchaotic systems was also investigated by Zhu in [17].…”

“…In Sect. 3, we restate the adaptive methods proposed in [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and derive adaptive controller and parameter update law using the general theorem and lemma, and then compare them with each other. Section 4 presents our conclusions.…”

Sliding Mode Controller Design for Global Chaos Synchronization of Coullet Systems

“…In the last two decades, various schemes have been successfully applied for chaos synchronization such as PC method [9], OGY method [10], active control method [11][12][13][14][15][16][17][18], adaptive control method [19][20][21][22][23][24][25][26][27], time-delay feedback method [28][29], backstepping design method [30][31][32], sampled-data feedback method [33], etc.…”