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Controlling Newton-Leipnik system via weak control Lyapunov function  ( CPCI-S收录 EI收录)  

文献类型:会议论文

英文题名:Controlling Newton-Leipnik system via weak control Lyapunov function

作者:Song, Yunzhong[1];Xiao, Huimin[2]

第一作者:Song, Yunzhong

通讯作者:Song, YZ[1]

机构:[1]Henan Polytech Univ, Coll Elect Engn & Automat, Complex Networks Lab, 2001 Century St, Jiaozuo 454000, Peoples R China;[2]Henan Univ Finance & Econ, Dept Comp Sci, Zhengzhou 450002, Peoples R China

第一机构:Henan Polytech Univ, Coll Elect Engn & Automat, Complex Networks Lab, 2001 Century St, Jiaozuo 454000, Peoples R China

通讯机构:[1]corresponding author), Henan Polytech Univ, Coll Elect Engn & Automat, Complex Networks Lab, 2001 Century St, Jiaozuo 454000, Peoples R China.

会议论文集:7th International Symposium on Instrumentation and Control Technology

会议日期:OCT 10-13, 2008

会议地点:Beijing, PEOPLES R CHINA

语种:英文

外文关键词:Chaos; Weak Control Lyapunov Function (WCLF); Newton-Leipnik system

摘要:Controller via Weak Control Lyapunov Function (WCLF) was presented for Newton-Leipnik equation, which has two strange attractors: the upper attractor (UA) and the lower attractor (LA). The final structure of this controller for original stabilization has a variable-structure nonlinear feedback form. Through WCLF principle, three different kinds of chaotic control were investigated, separately: the original control forcing the chaotic motion to settle down to the origin from any arbitrary position of the phase space; the chaotic intra-attractor control for stabilizing the equilibrium points only belonging to the upper chaotic attractor or the lower chaotic one, and the inter-attractor control for compelling the chaotic oscillation from one basin to another one. Both theoretical analysis and simulation results verify the validity of the Suggested method.

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