Less conservative stability criteria for general neural networks through novel delay-dependent functional

被引:8
作者
Lee, S. H. [1 ]
Park, M. J. [2 ]
Kwon, O. M. [1 ]
Choi, S. G. [3 ]
机构
[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea
[2] Kyung Hee Univ, Ctr Global Converging Humanities, Yongin 17104, South Korea
[3] Chungbuk Natl Univ, Sch Informat & Commun Engn, Cheongju 28644, South Korea
基金
新加坡国家研究基金会;
关键词
Stability; Zero equalities; Time-varying delay; Neural networks; TIME-VARYING DELAYS; LYAPUNOV-KRASOVSKII FUNCTIONALS; INTEGRAL INEQUALITY APPLICATION; GLOBAL ASYMPTOTIC STABILITY; LINEAR-SYSTEMS;
D O I
10.1016/j.amc.2021.126886
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work investigates the improved stability conditions for neural networks with time-varying delay. By the construction of newly augmented Lyapunov-Krasovskii functionals including the integral inequality and the use of the augmented zero equality approach, three improved results are proposed in the form of linear matrix inequalities. Two delay-dependent Lyapunov-Krasovskii functionals based on the integral inequality are proposed for the first time. Also, by utilizing the augmented zero equality approach, a less conservative result is obtained while reducing computation complexity. Through some numerical examples, the effectiveness and superiority of the proposed results are confirmed by comparing the existing works. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数:14
相关论文
共 41 条
[31]   A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems [J].
Zeng, Hong-Bing ;
Liu, Xiao-Gui ;
Wang, Wei .
APPLIED MATHEMATICS AND COMPUTATION, 2019, 354 :1-8
[32]   Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay [J].
Zeng, Hong-Bing ;
He, Yong ;
Wu, Min ;
She, Jinhua .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (10) :2768-2772
[33]   Delay-dependent stability analysis of neural networks with time-varying delay: A generalized free-weighting-matrix approach [J].
Zhang, Chuan-Ke ;
He, Yong ;
Jiang, Lin ;
Lin, Wen-Juan ;
Wu, Min .
APPLIED MATHEMATICS AND COMPUTATION, 2017, 294 :102-120
[34]   Overview of recent advances in stability of linear systems with time-varying delays [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Seuret, Alexandre ;
Gouaisbaut, Frederic ;
He, Yong .
IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (01) :1-16
[35]   Passivity Analysis of Delayed Neural Networks Based on Lyapunov-Krasovskii Functionals With Delay-Dependent Matrices [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Ge, Xiaohua ;
Zhang, Bao-Lin .
IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (03) :946-956
[36]   An overview of recent developments in Lyapunov-Krasovskii functionals and stability criteria for recurrent neural networks with time-varying delays [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Ge, Xiaohua ;
Ding, Derui .
NEUROCOMPUTING, 2018, 313 :392-401
[37]   Admissible Delay Upper Bounds for Global Asymptotic Stability of Neural Networks With Time-Varying Delays [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Wang, Jun .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (11) :5319-5329
[38]   Hierarchical Type Stability Criteria for Delayed Neural Networks via Canonical Bessel-Legendre Inequalities [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Zeng, Zhigang .
IEEE TRANSACTIONS ON CYBERNETICS, 2018, 48 (05) :1660-1671
[39]   An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay* [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Seuret, Alexandre ;
Gouaisbaut, Frederic .
AUTOMATICA, 2017, 84 :221-226
[40]   Global Asymptotic Stability for a Class of Generalized Neural Networks with Interval Time-Varying Delays [J].
Zhang, Xian-Ming ;
Han, Qing-Long .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (08) :1180-1192