Stochastic asymptotic stability of Markovian jumping neural networks with Markov mode estimation and mode-dependent delays

被引：13
作者：
Liu, Yan [1 ]
机构：
[1] Hebei Normal Univ Sci & Technol, Dept Math & Phys, Qinhuangdao 066004, Peoples R China
来源：
PHYSICS LETTERS A | 2009年 / 373卷 / 41期
关键词：
Markovian jumping parameters; Stochastic asymptotic stability; Mode-dependent delays; Linear matrix inequality; TOLERANT CONTROL-SYSTEMS;
D O I：
10.1016/j.physleta.2009.08.021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In a previous work [Z.D. Wang, Y.R. Liu, L. Yu, X.H. Liu, Phys. Lett. A 356 (2006) 346] an exponential stability analysis for a class of Markovian jumping neural networks (MJNNs) was presented. In this Letter we employ the same technique to extend the results for MJNNs with time-varying delays and mode estimation, appropriate for active fault-tolerant control systems. (C) 2009 Elsevier B.V. All rights reserved.
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收藏
页码：3741 / 3742
页数：2
相关论文
共 10 条
[1]   Stochastic stability analysis of fault-tolerant control systems in the presence of noise [J].
Mahmoud, M ;
Jiang, J ;
Zhang, YM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (11) :1810-1815
[2]   Stabilization of active fault tolerant control systems with imperfect fault detection and diagnosis [J].
Mahmoud, M ;
Jiang, J ;
Zhang, YM .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2003, 21 (03) :673-701
[3]   Stochastic stability analysis for fault tolerant control systems with multiple failure processes [J].
Mahmoud, M ;
Jiang, J ;
Zhang, YM .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2002, 33 (01) :55-65
[4]   CONTROL OF NONLINEAR-SYSTEMS WITH MARKOVIAN PARAMETER CHANGES [J].
MARITON, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (02) :233-238
[5]   DETECTION DELAYS, FALSE ALARM RATES AND THE RECONFIGURATION OF CONTROL-SYSTEMS [J].
MARITON, M .
INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (03) :981-992
[6]  
Mariton M., 1990, Jump Linear Systems in Automatic Control
[7]   STOCHASTIC STABILITY ANALYSIS FOR CONTINUOUS-TIME FAULT TOLERANT CONTROL-SYSTEMS [J].
SRICHANDER, R ;
WALKER, BK .
INTERNATIONAL JOURNAL OF CONTROL, 1993, 57 (02) :433-452
[8]   Synthesis of active fault-tolerant control based on Markovian jump system models [J].
Tao, F. ;
Zhao, Q. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04) :1160-1168
[9]   Exponential stability of delayed recurrent neural networks with Markovian jumping parameters [J].
Wang, Zidong ;
Liu, Yurong ;
Yu, Li ;
Liu, Xiaohui .
PHYSICS LETTERS A, 2006, 356 (4-5) :346-352
[10]   SURVEY OF DESIGN METHODS FOR FAILURE DETECTION IN DYNAMIC-SYSTEMS [J].
WILLSKY, AS .
AUTOMATICA, 1976, 12 (06) :601-611
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