Structure identification of uncertain general complex dynamical networks with time delay

被引:276
作者
Liu, Hui [2 ]
Lu, Jun-An [2 ]
Lu, Jinhu [1 ]
Hill, David J. [3 ]
机构
[1] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[3] Australian Natl Univ, Res Sch Informat Sci & Engn, Canberra, ACT 0200, Australia
基金
中国国家自然科学基金;
关键词
Complex networks; Structure identification; Parameters estimation; Time delay; Adaptive observer; ADAPTIVE SYNCHRONIZATION; TOPOLOGY IDENTIFICATION; NEURAL-NETWORKS; SYSTEMS;
D O I
10.1016/j.automatica.2009.03.022
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
It is well known that many real-world complex networks have various uncertain information, such as unknown or uncertain topological structure and node dynamics. The structure identification problem has theoretical and practical importance for uncertain complex dynamical networks. At the same time, time delay often appears in the state variables or coupling coefficients of various practical complex networks. This paper initiates a novel approach for simultaneously identifying the topological structure and unknown parameters of uncertain general complex networks with time delay. In particular, this method is also effective for uncertain delayed complex dynamical networks with different node dynamics. Moreover, the proposed method can be easily extended to monitor the on-line evolution of network topological structure. Finally, three representative examples are then given to verify the effectiveness of the proposed approach. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1799 / 1807
页数:9
相关论文
共 37 条
[11]  
Khalil H. K., 2002, Nonlinear systems, V3
[12]   A generalization of Krasovskii-LaSalle theorem for nonlinear time-varying systems: Converse result's and applications [J].
Lee, TC ;
Jiang, ZP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (08) :1147-1163
[13]   Failure of parameter identification based on adaptive synchronization techniques [J].
Lin, Wei ;
Ma, Huan-Fei .
PHYSICAL REVIEW E, 2007, 75 (06)
[14]   Chaos synchronization of general complex dynamical networks [J].
Lü, JH ;
Yu, XH ;
Chen, GR .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 334 (1-2) :281-302
[15]   A time-varying complex dynamical network model and its controlled synchronization criteria [J].
Lü, JH ;
Chen, GR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (06) :841-846
[16]   Characterizing the synchronizability of small-world dynamical networks [J].
Lü, JH ;
Yu, XH ;
Chen, GR ;
Cheng, DZ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (04) :787-796
[17]   Bridge the gap between the Lorenz system and the Chen system [J].
Lü, JH ;
Chen, GR ;
Cheng, DZ ;
Celikovsky, S .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12) :2917-2926
[18]   A new chaotic attractor coined [J].
Lü, JH ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661
[19]   Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters [J].
Lu, JQ ;
Cao, JD .
CHAOS, 2005, 15 (04)
[20]   Synchronization of coupled connected neural networks with delays [J].
Lu, WL ;
Chen, TP .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (12) :2491-2503