title: Function projective synchronization between integer-order and stochastic fractional-order nonlinear systems.
abstract: In this paper, the function projective synchronization between integer-order and stochastic fractional-order nonlinear systems is investigated. Firstly, according to the stability theory of fractional-order systems and tracking control, a controller is designed. At the same time, based on the orthogonal polynomial approximation, the method of transforming stochastic error system into an equivalent deterministic system is given. Thus, the stability of the stochastic error system can be analyzed through its equivalent deterministic one. Finally, to demonstrate the effectiveness of the proposed scheme, the function projective synchronization between integer-order Lorenz system and stochastic fractional-order Chen system is studied.
authors.affiliation: Department of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China. Electronic address: 12121614@bjtu.edu.cn.com.
authors.forename: Lingling
authors.initials: L
authors.lastname: Geng
authors.affiliation: Department of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China. Electronic address: ygyu@bjtu.edu.cn.
authors.forename: Yongguang
authors.initials: Y
authors.lastname: Yu
authors.affiliation: Department of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China. Electronic address: 11121764@bjtu.edu.cn.
authors.forename: Shuo
authors.initials: S
authors.lastname: Zhang
keywords: Function projective synchronization; Integer-order nonlinear system; Stochastic fractional-order nonlinear system