caa a22 4500 44536114X CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9802-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9802-7 Complete (anti-)synchronization of chaotic systems withfully uncertain parameters by adaptive control [Elektronische Daten] [Xian-Feng Li, Andrew Leung, Xiu-Ping Han, Xiao-Jun Liu, Yan-Dong Chu] This paper addresses a unified mathematical expression describing a class of chaotic systems, for which the problem of synchronization and anti-synchronization between different chaotic systems with fully uncertain parameters and different structure are studied. Based on the Lyapunov stability theory, anovel, simple, and systemic adaptive synchronization controller is designated, the analytic expression of the controller and the adaptive laws of parameters are developed. Moreover, the proposed scheme can be extended to anti-synchronize a class of chaotic systems. Two chaotic systems with different structure and fully uncertain parameters are employed as the examples to show the effectiveness of the proposed adaptive synchronization and anti-synchronization schemes. Additionally, the robustness and noise immunity of the adaptive synchronization scheme is investigated by measuring the mean squared error of the systems. Springer Science+Business Media B.V., 2010 Chaotic systems nationallicence (Anti-)synchronization nationallicence Adaptive control nationallicence Different structure nationallicence Fully uncertain parameters nationallicence Li Xian-Feng Department of Mathematics, Lanzhou Jiaotong University, 730070, Lanzhou, China aut Leung Andrew Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China aut Han Xiu-Ping School of Mathematical Sciences, Shandong Normal University, 250014, Jinan, China aut Liu Xiao-Jun Department of Mathematics, Tianshui Normal College, Tianshui, China aut Chu Yan-Dong Department of Mathematics, Lanzhou Jiaotong University, 730070, Lanzhou, China aut Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 263-275 0924-090X 63:1-2<263 2011 63 11071 https://doi.org/10.1007/s11071-010-9802-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9802-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Xian-Feng Department of Mathematics, Lanzhou Jiaotong University, 730070, Lanzhou, China aut NATIONALLICENCE 700 1- Leung Andrew Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China aut NATIONALLICENCE 700 1- Han Xiu-Ping School of Mathematical Sciences, Shandong Normal University, 250014, Jinan, China aut NATIONALLICENCE 700 1- Liu Xiao-Jun Department of Mathematics, Tianshui Normal College, Tianshui, China aut NATIONALLICENCE 700 1- Chu Yan-Dong Department of Mathematics, Lanzhou Jiaotong University, 730070, Lanzhou, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 263-275 0924-090X 63:1-2<263 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer