2006•Acta Physica SinicaOpen access

Linear state feedback control for a new chaotic system

Ruihong Li, Xu Wei, Li Shuang, 西北工业大学理学院应用数学系,西安 710072

Abstract

The problem of controlling a class of new chaotic system is investigated. Applying Routh-Hurwitz criterion, we analyze the stability of the controlled system. The choice principle of feedback coefficients to attain control objective is proved strictly by combining the linear state feedback method. Numerical simulation results show that the method can effectively guide the chaotic trajectories to an unstable equilibrium point or periodic solution. In addition, we find the control is stable in the presence of weak external noise.

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Key concepts: Chaotic, Control theory (sociology), Stability (learning theory), Feedback control, Equilibrium point, Chaotic systems, Computer science, Class (philosophy)