Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method

被引：94

作者：

Huang, Chuangxia ^{[1
,2
]}

Zhang, Hua ^{[1
,2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Hunan, Peoples R China

[2] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Inertial neural networks; periodic solution; generalized exponential stability; proportional delay; non-reduced order method; FINITE-TIME STABILITY; SYNCHRONIZATION; DYNAMICS;

D O I：

10.1142/S1793524519500165

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper, mainly explores a class of non-autonomous inertial neural networks with proportional delays and time-varying coefficients. By combining Lyapunov function method with differential inequality approach, non-reduced order method is used to establish some novel assertions on the existence and generalized exponential stability of periodic solutions for the addressed model. In addition, an example and its numerical simulations are given to support the proposed approach.

引用

页数：13

共 28 条

[1] STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1986, 23 (1-3) :464-469

[2] DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1987, 28 (03) :305-316

[3] Exponential stability of inertial neural networks involving proportional delays and non-reduced order method [J].

Huang, Chuangxia .

JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE, 2020, 32 (01) :133-146

[4] New studies on dynamic analysis of inertial neural networks involving non-reduced order method [J].

Huang, Chuangxia ;

Liu, Bingwen .

NEUROCOMPUTING, 2019, 325 :283-287

[5] Almost periodic solutions for fuzzy cellular neural networks with multi-proportional delays [J].

Huang, Zuda .

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (04) :1323-1331

[6] Finite-time stability of a class of fuzzy cellular neural networks with multi-proportional delays [J].

Jia, Renwei .

FUZZY SETS AND SYSTEMS, 2017, 319 :70-80

[7] Anti-periodic Solutions of Inertial Neural Networks with Time Delays [J].

Ke, Yunquan ;

Miao, Chunfang .

NEURAL PROCESSING LETTERS, 2017, 45 (02) :523-538

[8] Stability and existence of periodic solutions in inertial BAM neural networks with time delay [J].

Ke Yunquan ;

Miao Chunfang .

NEURAL COMPUTING & APPLICATIONS, 2013, 23 (3-4) :1089-1099

[9] Synchronization of an Inertial Neural Network With Time-Varying Delays and Its Application to Secure Communication [J].

Lakshmanan, Shanmugam ;

Prakash, Mani ;

Lim, Chee Peng ;

Rakkiyappan, Rajan ;

Balasubramaniam, Pagavathigounder ;

Nahavandi, Saeid .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (01) :195-207

[10] Some new results on stability and synchronization for delayed inertial neural networks based on non-reduced order method [J].

Li, Xuanying ;

Li, Xiaotong ;

Hu, Cheng .

NEURAL NETWORKS, 2017, 96 :91-100

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