ANTI-PERIODIC SOLUTIONS FOR GENERALIZED INERTIAL SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS

被引：0

作者：

Huo, Nina ^{[1
]}

Li, Yongkun ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2019年 / 18卷 / 01期

关键词：

Inertial Shunting Inhibitory Cellular Neural Network; Distributed Delay; Anti-Periodic Solution; Global Exponential Stability; STABILITY; MODELS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a class of generalized inertial shunting inhibitory cellular neural networks (SICNNs) with distributed delays. By using a continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, we obtain the existence and global exponential stability of anti-periodic solutions for SICNNs. Finally, we provide a numeral example to illustrate the validation of the obtained results.

引用

页码：95 / 107

页数：13

共 31 条

[1] The existence and stability of the anti-periodic solution for delayed Cohen-Grossberg neural networks with impulsive effects [J].

Abdurahman, Abdujelil ;

Jiang, Haijun .

NEUROCOMPUTING, 2015, 149 :22-28

[2] Attraction of Li-Yorke chaos by retarded SICNNs [J].

Akhmet, M. U. ;

Fen, M. O. .

NEUROCOMPUTING, 2015, 147 :330-342

[3] A Micro Inertial Energy Harvesting Platform With Self-Supplied Power Management Circuit for Autonomous Wireless Sensor Nodes [J].

Aktakka, Ethem Erkan ;

Najafi, Khalil .

IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2014, 49 (09) :2017-2029

[4]

Amster P., 2013, TOPOLOGICAL METHODS

[5] MODELS OF MEMBRANE RESONANCE IN PIGEON SEMICIRCULAR CANAL TYPE-II HAIR-CELLS [J].

ANGELAKI, DE ;

CORREIA, MJ .

BIOLOGICAL CYBERNETICS, 1991, 65 (01) :1-10

[6] MODELS FOR ELECTRICAL TUNING IN HAIR-CELLS [J].

ASHMORE, JF ;

ATTWELL, D .

PROCEEDINGS OF THE ROYAL SOCIETY SERIES B-BIOLOGICAL SCIENCES, 1985, 226 (1244) :325-344

[7] SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS - DERIVATION AND STABILITY ANALYSIS [J].

BOUZERDOUM, A ;

PINTER, RB .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (03) :215-221

[8] Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays [J].

Cao, Jinde ;

Wan, Ying .

NEURAL NETWORKS, 2014, 53 :165-172

[9] Global exponential stability of anti-periodic solutions for neutral type CNNs with D operator [J].

Chen, Zhibin .

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2018, 9 (07) :1109-1115

[10] Neural network for solving Nash equilibrium problem in application of multiuser power control [J].

He, Xing ;

Yu, Junzhi ;

Huang, Tingwen ;

Li, Chuandong ;

Li, Chaojie .

NEURAL NETWORKS, 2014, 57 :73-78

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