Parameter Estimation and Topology Identification of Uncertain General Fractional-order Complex Dynamical Networks with Time Delay

作     者：Xiaojuan Chen Jun Zhang Tiedong Ma 

作者机构：Department of Automobile EngineeringChongqing College of Electronic Engineering College of Automation Chongqing University 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2016年第3卷第3期

页      面：295-303页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Basic and Frontier Research Project of Chongqing(cstc2013jcyj A70006 cstc2015jcyj A40038) 

主　　题：Adaptive control systems Complex networks Structure (composition) Time delay Topology Uncertainty analysis 

摘      要：Complex networks have attracted much attention from various fields of sciences and engineering in recent years. However, many complex networks have various uncertain information, such as unknown or uncertain system parameters and topological structure, which greatly affects the system dynamics. Thus, the parameter estimation and structure identification problem has theoretical and practical importance for uncertain complex dynamical networks. This paper investigates identification of unknown system parameters and network topologies in uncertain fractional-order complex network with time delays (including coupling delay and node delay). Based on the stability theorem of fractional-order differential system and the adaptive control technique, a novel and general method is proposed to address this challenge. Finally two representative examples are given to verify the effectiveness of the proposed approach. © 2014 Chinese Association of Automation.