Abstract: Memristor is considered to be the missing 4th passive circuit element,which was proposed by professor Chua in 1971.Memristor is nonlinear and shows many special properties,which can be described by a nonlinear constitutive relation.At present,research on circuits based on memristor becomes a focal topic for research.Chaotic system based on memristor also has attracted attention recently.Based on the finite time stability theorem,this paper took a study on the global stability problem and finite-time stabilization problem of a class of the 5th order memristor chaotic systems and designed nonlinear state feedback controller to ensure the global exponential stability of memristor chaotic systems.The simulation experiment results verify the correctness and validity of the method.

Key words: Memristor,Chaotic systems,Finite time stability