Abstract In this paper, an approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The overflow function of the system states is designed as the feedback controller, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yields chaotic dynamics. Based on the Marotto theorem, it proves theoretically that the closed-loop system is chaotic in the sense of Li and Yorke. Finally, the simulation results are used to illustrate the effectiveness of the proposed method.
Received: 16 August 2006
Revised: 26 September 2006
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Cite this article:
Wu Zheng-Mao(吴峥茂), Lu Jun-Guo(卢俊国), and Xie Jian-Ying(谢剑英) Chaotifying a stable linear controllable system by single input state feedback 2007 Chinese Physics 16 1258
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