Name
Title | ||
|---|---|---|
Bipartite Synchronization Of Coupled Lurie Networks With Signed Graph And Time-Varying Delay |
Abstract | ||
|---|---|---|
This paper addresses the bipartite leader-following and leaderless synchronization in a signed network composed by an array of coupled Lurie systems with time-varying delay, where the signed network contains both the non-delay coupling term and the delay coupling term. By using the pinning control strategy and a gauge transformation to transform the problem of bipartite synchronization for signed network into that of synchronization of unsigned network, choosing an appropriate Lyapunov-Krasovskii functional (LKF), applying Jensen inequality and reciprocally convex inequality to estimate the derivative of the LKF, several sufficient conditions, which guarantee the bipartite leader-following and leaderless synchronization for the coupled Lurie networks with time-varying delay, are newly obtained in terms of linear matrix inequalities (LMIs). When the delay coupling term is not considered, some criteria in terms of low-dimensional LMIs are established by using M-matrix theory. A numerical example is provided to illustrate the effectiveness of the proposed results. (C) 2020 European Control Association. Published by Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.ejcon.2020.08.008 | EUROPEAN JOURNAL OF CONTROL |
Keywords | DocType | Volume |
Bipartite synchronization, Lurie networks, Time-varying delay, Signed graph, Pinning control | Journal | 58 |
ISSN | Citations | PageRank |
0947-3580 | 0 | 0.34 |
References | Authors | |
0 | 2 | |