Generalized dislocated lag projective synchronization of fractional chaotic systems with fully uncertain parameters

Abstract

In order to improve the security of secure communication combined with the generalized dislocated projective synchronization and lag projective synchronization, a new generalized dislocated lag projective synchronization (GDLPS) is investigated. This paper takes the fractional order Chen system and L system as examples. for the parameters of the two systems are uncertain, based on the fractional stability theory and adaptive control method, the nonlinear controller and parameter update laws are designed for the GDLPS between the two chaotic systems with uncertain parameters. Under the controller and parameter update laws, GDLPS of the two uncertain parameters chaotic systems is achieved and all uncertain parameters of the drive system and response system are identified. Theoretical analyses and numerical simulation show that this method is feasible and effective.