Robust stability and robust passivity of parabolic complex networks with parametric uncertainties and time-varying delays

被引:28
作者
Wang, Jin-Liang [1 ]
Wu, Huai-Ning [1 ]
机构
[1] Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China
基金
中国国家自然科学基金;
关键词
Parabolic complex networks; Robust global exponential stability; Robust passivity; REACTION-DIFFUSION SYSTEM; NEURAL-NETWORKS; DYNAMICAL NETWORKS; ASYMPTOTIC-BEHAVIOR; GLOBAL ATTRACTOR; FUEL-CELL; SYNCHRONIZATION; MODEL;
D O I
10.1016/j.neucom.2012.02.004
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the robust global exponential stability and robust passivity are investigated for a class of parabolic complex networks with multiple time-varying delays. By constructing appropriate Lyapunov functionals and utilizing inequality techniques, several criteria for robust global exponential stability and robust passivity are established. Finally, a numerical example is also given to illustrate the effectiveness of the obtained results. (c) 2012 Elsevier B.V.. All rights reserved.
引用
收藏
页码:26 / 32
页数:7
相关论文
共 48 条
[1]   Passivity as a design tool for group coordination [J].
Arcak, Murat .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1380-1390
[2]   Passivity-Based Control applied to DC hybrid power source using fuel cell and supercapacitors [J].
Ayad, M. Y. ;
Becherif, M. ;
Henni, A. ;
Aboubou, A. ;
Wack, M. ;
Laghrouche, S. .
ENERGY CONVERSION AND MANAGEMENT, 2010, 51 (07) :1468-1475
[3]   Passivity analysis of neural networks with Markovian jumping parameters and interval time-varying delays [J].
Balasubramaniam, P. ;
Nagamani, G. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (04) :853-864
[4]   A delay decomposition approach to delay-dependent passivity analysis for interval neural networks with time-varying delay [J].
Balasubramaniam, P. ;
Nagamani, G. .
NEUROCOMPUTING, 2011, 74 (10) :1646-1653
[5]   Global Passivity Analysis of Interval Neural Networks with Discrete and Distributed Delays of Neutral Type [J].
Balasubramaniam, P. ;
Nagamani, G. ;
Rakkiyappan, R. .
NEURAL PROCESSING LETTERS, 2010, 32 (02) :109-130
[6]   Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays [J].
Chen, Bing ;
Li, Hongyi ;
Lin, Chong ;
Zhou, Qi .
PHYSICS LETTERS A, 2009, 373 (14) :1242-1248
[7]   An introduction to interconnection and damping assignment passivity-based control in process engineering [J].
Doerfler, Florian ;
Johnsen, Jorgen K. ;
Allgoewer, Frank .
JOURNAL OF PROCESS CONTROL, 2009, 19 (09) :1413-1426
[8]   A passivity approach to game-theoretic CDMA power control [J].
Fan, X. ;
Alpcan, T. ;
Arcak, A. ;
Wen, T. J. ;
Basar, T. .
AUTOMATICA, 2006, 42 (11) :1837-1847
[9]   Strong effect of dispersal network structure on ecological dynamics [J].
Holland, Matthew D. ;
Hastings, Alan .
NATURE, 2008, 456 (7223) :792-U76
[10]   Impulsive Control and Synchronization for Delayed Neural Networks With Reaction-Diffusion Terms [J].
Hu, Cheng ;
Jiang, Haijun ;
Teng, Zhidong .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01) :67-81