Chaotifying a stable linear controllable system by single input state feedback |
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Authors: | Wu Zheng-Mao Lu Jun-Guo and Xie Jian-Ying |
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Institution: | Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China |
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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. |
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Keywords: | chaotification overflow
function Marotto theorem state-feedback |
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