Finite-time boundedness of uncertain time-delayed neural network with Markovian jumping parameters

被引：66
作者：
He, Shuping [1 ]
Liu, Fei [2 ]
机构：
[1] Anhui Univ, Coll Elect Engn & Automat, Hefei 230601, Peoples R China
[2] Jiangnan Univ, Inst Automat, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
来源：
NEUROCOMPUTING | 2013年 / 103卷
基金：
中国国家自然科学基金;
关键词：
Markovian jumping neural networks (MJNNs); Finite-time boundedness (FTB); Time delay; Uncertainties; Linear matrix inequalities; DEPENDENT EXPONENTIAL STABILITY; H-INFINITY; ROBUST STABILITY; STABILIZATION; DISCRETE; SYSTEMS;
D O I：
10.1016/j.neucom.2012.09.005
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The stochastic finite-time boundedness (FTB) problem is considered for a class of Markovian jumping neural networks (MJNNs) with time delay and uncertainties. By selecting the appropriate stochastic Lyapunov-Krasovskii functional, sufficient conditions of stochastic FTB of MJNNs are presented and proved. The FTB criteria are formulated in the form of linear matrix inequalities. Simulation results illustrate the effectiveness of the developed approaches. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：87 / 92
页数：6
相关论文
共 29 条
[1]   Finite-time stabilization of impulsive dynamical linear systems [J].
Amato, F. ;
Ambrosino, R. ;
Cosentino, C. ;
De Tommasi, G. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (01) :89-101
[2]   Input-output finite time stabilization of linear systems [J].
Amato, F. ;
Ambrosino, R. ;
Cosentino, C. ;
De Tommasi, G. .
AUTOMATICA, 2010, 46 (09) :1558-1562
[3]  
Dorato P., 1961, Short-time stability in linear time-varying systems
[4]  
Du HB, 2010, KYBERNETIKA, V46, P870
[5]   Delay-dependent stability of neutral type neural networks with distributed delays [J].
Feng, Jun-e ;
Xu, Shengyuan ;
Zou, Yun .
NEUROCOMPUTING, 2009, 72 (10-12) :2576-2580
[6]   Finite-Time H∞ Fuzzy Control of Nonlinear Jump Systems With Time Delays Via Dynamic Observer-Based State Feedback [J].
He, Shuping ;
Liu, Fei .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2012, 20 (04) :605-614
[7]  
He SP, 2010, INT J INNOV COMPUT I, V6, P3853
[8]   Necessary and Sufficient Conditions for Finite-Time Boundedness of Linear Continuous-Time Systems [J].
Ichihara, Hiroyuki ;
Katayama, Hitoshi .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :3214-3219
[9]   New passivity results for uncertain discrete-time stochastic neural networks with mixed time delays [J].
Li, Hongyi ;
Wang, Chuan ;
Shi, Peng ;
Gao, Huijun .
NEUROCOMPUTING, 2010, 73 (16-18) :3291-3299
[10]   Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance [J].
Lin, Xiangze ;
Du, Haibo ;
Li, Shihua .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) :5982-5993
123