CHAOTIFYING THE CONTROLLABLE LINEAR SYSTEM VIA SINGLE INPUT STATE FEEDBACK

Zheng Mao Wu (), Jun Guo Lu, Jian Ying Xie and Jie Li
Additional contact information
Zheng Mao Wu: Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China
Jun Guo Lu: Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China
Jian Ying Xie: Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China
Jie Li: Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 07, 1027-1035

Abstract: An approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The feedback controller designed is a sawtooth function of the system states, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yielding chaotic dynamics. Based on the Marotto theorem, it is proven 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 theory.

Keywords: Chaotification; sawtooth function; Marotto theorem; state-feedback; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183106009114
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:17:y:2006:i:07:n:s0129183106009114

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183106009114

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().