Pinning bipartite synchronization for inertial coupled delayed neural networks with signed digraph via non-reduced order method

被引：32

作者：

Chen, Shanshan ^{[1
]}

Jiang, Haijun ^{[1
]}

Lu, Binglong ^{[1
]}

Yu, Zhiyong ^{[1
]}

Li, Liang ^{[2
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Yili Normal Univ, Sch Math & Stat, Yining 835000, Peoples R China

来源：

NEURAL NETWORKS | 2020年 / 129卷

关键词：

Bipartite synchronization; Inertial coupled delayed neural network; Strongly connected network; Directed spanning tree; Pinning control; TIME-VARYING DELAYS; ANTAGONISTIC INTERACTIONS; EXPONENTIAL STABILITY; MULTIAGENT SYSTEMS; NONLINEAR-SYSTEMS; CONSENSUS; CRITERIA;

D O I：

10.1016/j.neunet.2020.06.017

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The study investigates bipartite synchronization of inertial coupled delayed neural networks (ICDNNs) with signed digraph by non-reduced order method and pinning control. The second-order CDNNs will not be converted into a first-order differential system by introducing variable substitution. Instead, a novel Lyapunov-Krasovskii functional is proposed which depends on the topology of the ICDNNs. Some sufficient conditions for linear matrix inequalities (LMI) are derived to realize bipartite synchronization, which is based on matrix decomposition theory and Barbalat Lemma in strongly connected signed networks. And then, M-matrix theory is utilized to generalize the results to networks containing directed spanning trees. Finally, two examples are used to verify the validity of the derived theoretical results. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：392 / 402

页数：11

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