Finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks

被引：33

作者：

Pratap, A. ^{[1
]}

Raja, R. ^{[2
]}

Cao, Jinde ^{[3
]}

Alzabut, J. ^{[4
]}

Huang, Chuangxia ^{[5
,6
]}

机构：

[1] Vel Tech High Tech Dr Rangarajan Dr Sakunthala En, Avadi, India

[2] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi, Tamil Nadu, India

[3] Southeast Univ, Sch Math, Nanjing, Peoples R China

[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

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

[6] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Discontinuous fractional-order neural networks; Coupled systems; Finite time synchronization; COMPLEX DYNAMICAL NETWORKS; PINNING SYNCHRONIZATION; LIMIT-CYCLES; STABILITY; SYSTEMS; STABILIZATION; DISSIPATIVITY; MODEL;

D O I：

10.1186/s13662-020-02551-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research work, the finite-time synchronization and adaptive finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks (FCDNNs) are investigated under two different control strategies. By utilizing differential inclusion theory, Filippov framework, suitable Lyapunov functional, and graph theory approach, several sufficient criteria based on discontinuous state feedback control protocol and discontinuous adaptive feedback control protocol are established for ensuring the finite-time synchronization and adaptive finite-time synchronization of FCDNNs. Finally, two numerical cases illustrate the efficiency of the proposed finite-time synchronization results.

引用

页数：24

共 70 条

[1] Lyapunov functions for fractional order systems [J].

Aguila-Camacho, Norelys ;

Duarte-Mermoud, Manuel A. ;

Gallegos, Javier A. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :2951-2957

[2]

[Anonymous], 1988, Differential Equations With Discontinuous Right-Hand Side

[3]

[Anonymous], 2012, FRACTIONAL ORDER SIG

[4] A THEORETICAL BASIS FOR THE APPLICATION OF FRACTIONAL CALCULUS TO VISCOELASTICITY [J].

BAGLEY, RL ;

TORVIK, PJ .

JOURNAL OF RHEOLOGY, 1983, 27 (03) :201-210

[5] Projective synchronization of fractional-order memristor-based neural networks [J].

Bao, Hai-Bo ;

Cao, Jin-De .

NEURAL NETWORKS, 2015, 63 :1-9

[6] GENERALIZED LYAPUNOV-RAZUMIKHIN METHOD FOR RETARDED DIFFERENTIAL INCLUSIONS: APPLICATIONS TO DISCONTINUOUS NEURAL NETWORKS [J].

Cai, Zuowei ;

Huang, Jianhua ;

Huang, Lihong .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (09) :3591-3614

[7] Synchronization in an array of linearly stochastically coupled networks with time delays [J].

Cao, Jinde ;

Wang, Zidong ;

Sun, Yonghui .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 385 (02) :718-728

[8] Cluster synchronization in an array of hybrid coupled neural networks with delay [J].

Cao, Jinde ;

Li, Lulu .

NEURAL NETWORKS, 2009, 22 (04) :335-342

[9] New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies model with multiple pairs of time-varying delays [J].

Cao, Qian ;

Wang, Guoqiu ;

Zhang, Hong ;

Gong, Shuhua .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)

[10] New results on global exponential stability for a periodic Nicholson's blowflies model involving time-varying delays [J].

Cao, Qian ;

Wang, Guoqiu ;

Qian, Chaofan .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

← 1 2 3 4 5 6 7 →