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Optimal Control for New Chaotic System

ZHANG Tingfang~1~(,2),YAO Hongxing~2,GENG Xia~3(1.School of Mathematics and Physics,Jiangsu University of Science and Technology,Zhenjiang Jiangsu 212003,China;2.Institute of Mathematics and System Science,Jiangsu University,Zhenjiang Jiangsu 212013,China;3.School of Computer Science and Telecommunication Engineering,Jiangsu University,Zhenjiang Jiangsu 212013,China)  
A new chaotic system with its basic dynamic behaviors is introduced.With different parameters,two 1-scroll chaotic attractors or two 2-scroll chaotic attractors can be displayed simultaneously.Based on Lyapunov theory of stability and Krasovskii theory,an optimal controller was designed by means of the coordinate transformation for controlling the new type chaotic system.Then the orbit of the chaotic system can be controlled to its unstable equilibrium.Results from numerical simulation and theoretical analysis proved the controller effective.
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