Adaptive neural network prescribed performance matrix projection synchronization for unknown complex dynamical networks with different dimensions

被引:23
作者
Fan, Aili [1 ]
Li, Junmin [1 ]
机构
[1] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Complex dynamic networks; Synchronization; Adaptive control; Prescribed performance; Different dimensions; NONLINEAR-SYSTEMS; FEEDBACK; OBSERVER; TOPOLOGY; NODES;
D O I
10.1016/j.neucom.2017.11.055
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper investigates an adaptive neural network prescribed performance synchronization scheme for unknown complex dynamic networks with different dimensions. Based on predefined performance bounded and Lyapunov stability theory, adaptive neural networks controllers are designed to ensure that synchronization errors remain in a neighborhood of origin with the prescribed bounds. In addition, the paper analyses in detail that the synchronization behaviors between drive network selected as the three-dimension chaotic system and response network selected as the four-dimension hyperchaotic chaotic system. The numerical simulation results are presented to show the validity of the proposed approach. (c) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:55 / 66
页数:12
相关论文
共 37 条
[1]   Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance [J].
Bechlioulis, Charalampos P. ;
Rovithakis, George A. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (09) :2090-2099
[2]   Prescribed Performance Adaptive Control for Multi-Input Multi-Output Affine in the Control Nonlinear Systems [J].
Bechlioulis, Charalampos P. ;
Rovithakis, George A. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (05) :1220-1226
[3]   Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems [J].
Bechlioulis, Charalampos P. ;
Rovithakis, George A. .
AUTOMATICA, 2009, 45 (02) :532-538
[4]   Complex networks: Structure and dynamics [J].
Boccaletti, S. ;
Latora, V. ;
Moreno, Y. ;
Chavez, M. ;
Hwang, D. -U. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308
[5]  
Chakravartula S., 2014, DISSERTATIONS THESES, V424, P175
[6]   Adaptive generalized function matrix projective lag synchronization of uncertain complex dynamical networks with different dimensions [J].
Dai, Hao ;
Si, Gangquan ;
Zhang, Yanbin .
NONLINEAR DYNAMICS, 2013, 74 (03) :629-648
[7]   Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions [J].
Dai Hao ;
Jia Li-Xin ;
Zhang Yan-Bin .
CHINESE PHYSICS B, 2012, 21 (12)
[8]   A new three-dimensional chaotic system and its modified generalized projective synchronization [J].
Dai Hao ;
Jia Li-Xin ;
Hui Meng ;
Si Gang-Quan .
CHINESE PHYSICS B, 2011, 20 (04)
[9]   A new four-dimensional hyperchaotic Chen system and its generalized synchronization [J].
Jia Li-Xin ;
Dai Hao ;
Hui Meng .
CHINESE PHYSICS B, 2010, 19 (10)
[10]   A state-observer-based approach for synchronization in complex dynamical networks [J].
Jiang, Guo-Ping ;
Tang, Wallace Kit-Sang ;
Chen, Guanrong .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (12) :2739-2745