caa a22 4500 445361379 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s11071-010-9905-1 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9905-1 Chaotification of nonlinear discrete systems via immersion and invariance [Elektronische Daten] [Qiyue Xie, Zhengzhi Han, Wei Zhang, Hua Wang] This paper is concerned with the chaotification of nonlinear discrete systems. A novel method based on (system) immersion and (manifold) invariance (I&I) is introduced to chaotify nonlinear discrete systems. Its basic idea is to immerse an ideal system which holds chaotic properties and may be a lower dimension into the plant system, and then control trajectories of the plant system to converge toward the invariant manifold where the ideal system is immersed. For a class of linearizable systems, we present the immersion and the control law such that these systems can be chaotified through I&I design. An illustrative example with simulation is presented to validate the proposed chaotification scheme. Springer Science+Business Media B.V., 2010 Nonlinear discrete systems nationallicence Chaotification nationallicence Immersion and invariance nationallicence Xie Qiyue School of Energy and Power Engineering, Changsha University of Science and Technology, 410076, Changsha, China aut Han Zhengzhi School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China aut Zhang Wei Engineering Training Center, Shanghai University of Engineering Science, 201620, Shanghai, China aut Wang Hua School of Mechatronics Engineering and Automation, Shanghai University, 200072, Shanghai, China aut Nonlinear Dynamics Springer Netherlands 65/4(2011-09-01), 467-475 0924-090X 65:4<467 2011 65 11071 https://doi.org/10.1007/s11071-010-9905-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9905-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xie Qiyue School of Energy and Power Engineering, Changsha University of Science and Technology, 410076, Changsha, China aut NATIONALLICENCE 700 1- Han Zhengzhi School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China aut NATIONALLICENCE 700 1- Zhang Wei Engineering Training Center, Shanghai University of Engineering Science, 201620, Shanghai, China aut NATIONALLICENCE 700 1- Wang Hua School of Mechatronics Engineering and Automation, Shanghai University, 200072, Shanghai, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/4(2011-09-01), 467-475 0924-090X 65:4<467 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer