Chaotifying a stable linear controllable system by single input state feedback  

作　　者：吴峥茂 卢俊国 谢剑英 

机构地区：[1]Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China

出　　处：《Chinese Physics B》2007年第5期1258-1262,共5页中国物理B（英文版）

摘　　要：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.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.

关 键 词：CHAOTIFICATION overflow function Marotto theorem STATE-FEEDBACK 

分 类 号：O231.1[理学—运筹学与控制论]