Delay-dependent stability;
Discrete-time neural networks;
Global exponential stability;
Time-varying delays;
Robust exponential stability;
GLOBAL ASYMPTOTIC STABILITY;
ROBUST STABILITY;
SYSTEMS;
D O I:
10.1016/j.neucom.2009.08.017
中图分类号:
TP18 [人工智能理论];
学科分类号:
081104 ;
0812 ;
0835 ;
1405 ;
摘要:
The problem of robust exponential stability for a class of discrete-time recurrent neural networks with time-varying delay is investigated. By constructing a new augmented Lyapunov-Krasovskii functional, some new delay-dependent stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequality (LMI). Compared with some previous results, the new conditions obtained in this paper are less conservative. Three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed method. (C) 2009 Elsevier B.V. All rights reserved.
机构:
Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
Beijing Inst Technol, Sch Informat Sci & Technol, Dept Automat Control, Beijing 100081, Peoples R ChinaUniv Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
Sun, Jian
Liu, G. P.
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机构:
Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligent Sci, Beijing 100190, Peoples R ChinaUniv Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
Liu, G. P.
Chen, Jie
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机构:
Beijing Inst Technol, Sch Informat Sci & Technol, Dept Automat Control, Beijing 100081, Peoples R ChinaUniv Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
Chen, Jie
Rees, D.
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机构:
Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, WalesUniv Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
机构:
Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
Hunan City Univ, Sch Sci, Yiyang 413000, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
Chen, Qiao
Liu, Xinge
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机构:
Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
Liu, Xinge
Guo, Peiyu
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机构:
Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
Guo, Peiyu
Liu, Hua
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机构:
Wuhan Univ, Zhongnan Hosp, Wuhan 430071, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
Liu, Hua
Li, Xiayun
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机构:
Hunan City Univ, Sch Sci, Yiyang 413000, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China