Average dwell time approach;
Finite-time stability;
Lyapunov-Krasovskii functional;
Memristor;
Switched neural networks;
ROBUST EXPONENTIAL STABILITY;
STABILIZATION;
SYNCHRONIZATION;
SYSTEMS;
D O I:
10.1016/j.neucom.2017.10.003
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 we investigated the problem of the finite-time stability for a class of memristor based switched neural networks with time-varying delays. By constructing proper Lyapunov functionals. Based on the average dwell time technique, mode-dependent average dwell time technique and using a free-matrix-based integral inequality, Jensen's inequality are used to estimate the upper bound of the derivative of the LKF, several sufficient conditions are given to ensure the finite-time stability of the memristor-based switched neural networks with discrete and distributed delays in the sense of feasible solutions. The finite-time stability conditions here are presented in terms of linear matrix inequalities, which can be easily solved by using Matlab Tools. Finally, the numerical examples are provided to verify the effectiveness and benefit of the proposed criterion. (c) 2017 Elsevier B.V. All rights reserved.
机构:
Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
Zhengzhou Univ Light Ind, Coll Elect & Informat Engn, Zhengzhou 450002, Peoples R ChinaSoutheast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
Wu, Yuanyuan
Cao, Jinde
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机构:
Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi ArabiaSoutheast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
Cao, Jinde
Alofi, Abdulaziz
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机构:
King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi ArabiaSoutheast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
Alofi, Abdulaziz
AL-Mazrooei, Abdullah
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King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi ArabiaSoutheast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
AL-Mazrooei, Abdullah
Elaiw, Ahmed
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King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi ArabiaSoutheast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
机构:
Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, IndiaBharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
Rakkiyappan, R.
Velmurugan, G.
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Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, IndiaBharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
Velmurugan, G.
Cao, Jinde
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机构:
Southeast Univ, Dept Math, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi ArabiaBharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India