Fixed-Time Adaptive Time-Varying Matrix Projective Synchronization of Time-Delayed Chaotic Systems with Different Dimensions

作     者：Peng Zheng Xiaozhen Guo Guoguang Wen 

作者机构：Department of Computer ScienceUniversity of LiverpoolLiverpoolL693BXUK ORDOS No.1 High School East CampusErdos017010China Department of MathematicsBeijing Jiaotong UniversityBeijing100044China 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2022年第131卷第6期

页      面：1451-1463页

核心收录：

学科分类：07[理学] 0835[工学-软件工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China under Grant 61977004.This support is gratefully acknowledged 

主　　题：Time-varying matrix projective synchronization(TVMPS) fixed-time control unknown parameters different dimensions time-delayed chaotic systems(TDCSs) 

摘      要：This paper deals with the fixed-time adaptive time-varying matrix projective synchronization(ATVMPS)of different dimensional chaotic systems(DDCSs)with time delays and unknown ***,to estimate the unknown parameters,adaptive parameter updated laws are ***,to realize the fixed-time ATVMPS of the time-delayed DDCSs,an adaptive delay-unrelated controller is designed,where time delays of chaotic systems are known or ***,some simple fixed-time ATVMPS criteria are deduced,and the rigorous proof is provided by employing the inequality technique and Lyapunov ***,the settling time of fixed-time synchronization(Fix-TS)is obtained,which depends only on controller parameters and system parameters and is independent of the system’s initial ***,simulation examples are presented to validate the theoretical analysis.