caa a22 4500 445360569 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s11071-010-9847-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9847-7 Pragmatical adaptive synchronization of different orders chaotic systems with all uncertain parameters via nonlinear control [Elektronische Daten] [Shih-Yu Li, Zheng-Ming Ge] A new adaptive synchronization scheme by pragmatical asymptotically stability theorem is proposed in this paper. Based on this theorem and nonlinear control theory, a new adaptive synchronization scheme to design controllers can be obtained and especially the constraints for minimum values of feedback gain K in controllers can be derived. This new strategy shows that the constraint values of feedback gain K are related to the error of unknown and estimated parameters if the goal system is given. Through this new strategy, an appropriate feedback gain K can be always decided easily to obtain controllers achieving adaptive synchronization. Two identical Lorenz systems with different initial conditions and two completely different nonlinear systems with different orders, augmented Rössler's system and Mathieu-van der Pol system, are used for illustrations to demonstrate the efficiency and effectiveness of the new adaptive scheme in numerical simulation results. The Author(s), 2010 Constraints of feedback gain nationallicence Adaptive synchronization nationallicence Uncertain parameters nationallicence Nonlinear control nationallicence Pragmatical asymptotically stability theorem nationallicence Li Shih-Yu Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, 300, Hsinchu, Taiwan, Republic of China aut Ge Zheng-Ming Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, 300, Hsinchu, Taiwan, Republic of China aut Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 77-87 0924-090X 64:1-2<77 2011 64 11071 https://doi.org/10.1007/s11071-010-9847-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9847-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Shih-Yu Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, 300, Hsinchu, Taiwan, Republic of China aut NATIONALLICENCE 700 1- Ge Zheng-Ming Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, 300, Hsinchu, Taiwan, Republic of China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 77-87 0924-090X 64:1-2<77 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer