Aperiodically intermittent synchronization for switching complex networks dependent on topology structure

被引：14

作者：

Gao, Jie ^{[1
,2
]}

Cao, Jinde ^{[3
,4
]}

机构：

[1] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol, Sch Math Sci, Chengdu, Sichuan, Peoples R China

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

[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

pinning synchronization; switching complex networks; aperiodically intermittent control; M-matrix; NEURAL-NETWORKS; EXPONENTIAL STABILIZATION; PINNING-CONTROLLABILITY; DIRECTED NETWORKS; SYSTEMS; CRITERIA;

D O I：

10.1186/s13662-017-1261-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the aperiodically intermittent synchronization for a class of directed complex networks with switching network topologies. The assumption that all of the switching topologies contain a directed spanning tree is removed which is necessary in the previous related literature. That is, only some switching topologies contain a directed spanning tree when zero-in-degree nodes are pinned. By using M-matrix theory and constructing multiple Lyapunov functions, some sufficient conditions are derived to achieve the aperiodically intermittent synchronization of switching complex networks. Finally, some numerical simulations are given to demonstrate the theoretical results.

引用

页数：15

共 38 条

[1] Bermudez A. J., 1994, SAVMA Symposium 1994 Proceedings., P1
[2] Bernstein DS, 2009, Matrix mathematics: theory, facts, and formulas, V2nd
[3] Cao Y, 2017, IEEE T CYBERNETICS, V47, P2212, DOI 10.1109/TCYB.2016.2573138
[4] Synchronization of Complex Networks With Impulsive Control and Disconnected Topology
Chen, Yao
Yu, Wenwu
Li, Fangfei
Feng, Shasha
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2013, 60 (05) : 292 - 296
[5] A new switching control for finite-time synchronization of memristor-based recurrent neural networks
Gao, Jie
Zhu, Peiyong
Alsaedi, Ahmed
Alsaadi, Fuad E.
Hayat, Tasawar
[J]. NEURAL NETWORKS, 2017, 86 : 1 - 9
[6] Global exponential synchronization of networked dynamical systems under event-triggered control schemes
Gao, Jie
Zhu, Peiyong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[7] Asymptotic synchronization for stochastic memristor-based neural networks with noise disturbance
Gao, Jie
Zhu, Peiyong
Xiong, Wenjun
Cao, Jinde
Zhang, Lin
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (13): : 3271 - 3289
[8] Synchronization of chaotic systems with delay using intermittent linear state feedback
Huang, Tingwen
Li, Chuandong
Liu, Xinzhi
[J]. CHAOS, 2008, 18 (03)
[9] Internet - Growth dynamics of the World-Wide Web
Huberman, BA
Adamic, LA
[J]. NATURE, 1999, 401 (6749) : 131 - 131
[10] Pinning a complex dynamical network to its equilibrium
Li, X
Wang, XF
Chen, GR
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (10) : 2074 - 2087

← 1 2 3 4 →