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About disconnected topologies and synchronization of homogeneous nonlinear agents over switching networks
Author(s) -
Casadei G.,
Isidori A.,
Marconi L.
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3910
Subject(s) - network topology , synchronization (alternating current) , nonlinear system , topology (electrical circuits) , homogeneous , totally disconnected space , computer science , mathematics , computer network , discrete mathematics , physics , combinatorics , locally compact space , quantum mechanics
Summary In this paper, we study the problem of networks on nonlinear oscillators when communication topologies are disconnected. In the first part of this paper, we show that the high‐gain design procedure succeeds in achieving clustered consensus when disconnected topologies occur. In the second part, we study a network of nonlinear oscillators when the topology is switching between sets of disconnected and connected topologies. By a Lyapunov analysis, we prove that if disconnected topologies last for a limited amount of time and the switching law for connected topologies fulfills an average dwell‐time condition, synchronization is achieved.