Robust Multistability and Multiperiodicity of Neural Networks with Time Delays

被引：1

作者：

Wang, Lili ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Sch Math, Shanghai, Peoples R China

来源：

ADVANCES IN NEURAL NETWORKS - ISNN 2015 | 2015年 / 9377卷

关键词：

Neural networks; periodic solution; multistability; multiperiodicity; robust stability; GLOBAL EXPONENTIAL STABILITY; DYNAMICAL-SYSTEMS; ATTRACTIVITY;

D O I：

10.1007/978-3-319-25393-0_17

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 are concerned with the robust multistability and multiperiodicity of delayed neural networks. A set of sufficient conditions ensuring the coexistence of 2(n) periodic solutions and their local stability are presented. And the attraction basin of each periodic solution can be enlarged by rigorous analysis.

引用

页码：146 / 153

页数：8

共 10 条

[1] On the global asymptotic stability of delayed cellular neural networks [J].

Arik, S ;

Tavsanoglu, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :571-574

[2] Robust global exponential stability of Cohen-Grossberg neural networks with time delays [J].

Chen, TP ;

Rong, LB .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :203-206

[3] New theorems on global convergence of some dynamical systems [J].

Chen, TP ;

Amari, S .

NEURAL NETWORKS, 2001, 14 (03) :251-255

[4] Multistability in recurrent neural networks [J].

Cheng, Chang-Yuan ;

Lin, Kuang-Hui ;

Shih, Chih-Wen .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) :1301-1320

[5] Global exponential stability of almost periodic solution for a large class of delayed dynamical systems [J].

Lu, WL ;

Chen, TP .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (08) :1015-1026

[6] Multiple μ-stability of neural networks with unbounded time-varying delays [J].

Wang, Lili ;

Chen, Tianping .

NEURAL NETWORKS, 2014, 53 :109-118

[7] Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions [J].

Wang Lili ;

Lu Wenlian ;

Chen Tianping .

NEURAL NETWORKS, 2010, 23 (02) :189-200

[8] Multistability and New Attraction Basins of Almost-Periodic Solutions of Delayed Neural Networks [J].

Wang, Lili ;

Lu, Wenlian ;

Chen, Tianping .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (10) :1581-1593

[9]

Zeng ZG, 2006, NEURAL COMPUT, V18, P848, DOI 10.1162/089976606775774624

[10] Multiperiodicity and attractivity of delayed recurrent neural networks with unsaturating piecewise linear transfer functions [J].

Zhang, Lei ;

Yi, Zhang ;

Yu, Jiali .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (01) :158-167

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