Full state hybrid projective synchronization of variable-order fractional chaotic/hyperchaotic systems with nonlinear external disturbances and unknown parameters

被引：6

作者：

Zhang, Li ^{[1
,2
,3
]}

Liu, Tao ^{[3
]}

机构：

[1] Shandong Univ, Coll Control Sci & Engn, Jinan 250061, Peoples R China

[2] Shandong Univ, Coll Control Sci & Engn, Jinan 250061, Peoples R China

[3] Shandong Univ Polit Sci & Law, Sch Business, Jinan 250014, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 03期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Variable-order fractional systems; synchronization; external disturbance; unknown parameters; LAG SYNCHRONIZATION; CHAOS; EQUATIONS;

D O I：

10.22436/jnsa.009.03.34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The full state hybrid projective synchronization (FSHPS) definition for variable-order fractional chaotic/hyperchaotic systems with nonlinear external disturbances and unknown parameters is firstly presented. Then by introducing a compensator and a nonlinear controller, the FSHPS scheme is generated to eliminate the influence of nonlinear external disturbances effectively. Moreover, the parameters are estimated validly. Based on these control methods, appropriate parameters and controller to achieve FSHPS for the variable-order fractional chaotic/hyperchaotic systems are chosen impactfully. Simulations of variable-order fractional Chen and Lii system and fractional order hyperchaotic Lorenz system in the sense of FSHPS are performed and results show the effectiveness of our method. (C)2016 All rights reserved.

引用

页码：1064 / 1076

页数：13

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