Practical bipartite synchronization on coupled identical linear systems with antagonistic interactions and time-varying topologies

This paper studies synchronization problem of a network of identical linear systems with antagonistic interactions and time-varying topologies. Assume that the communication graph can be switched among a set of signed graphs, and the following cases may occur: (1) the agents of each signed graph can...

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Bibliographic Details
Main Authors: Zhai, Shidong, Xiong, Shiqi, Liu, Guodong, Li, Qingdu
Format: Conference Proceeding
Language:English
Subjects:
Conferences
Eigenvalues and eigenfunctions
Graphs
Linear systems
Mathematical models
Multi-agent systems
Network topology
Networks
practical bipartite synchronization
signed graphs
Switches
Synchronism
Synchronization
Topology
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Summary:This paper studies synchronization problem of a network of identical linear systems with antagonistic interactions and time-varying topologies. Assume that the communication graph can be switched among a set of signed graphs, and the following cases may occur: (1) the agents of each signed graph can be divided into two hostile camps, but the members of hostile camps are different; (2) some signed graphs cannot be divided into two hostile camps. We use perturbed analysis to obtain some sufficient conditions for practical bipartite synchronization. Finally, we present a numerical example to illustrate the effectiveness of the obtained results.
ISSN:2161-2927
1934-1768
DOI:10.1109/ChiCC.2016.7554563