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Erschienen in:
On a Reformulation of Mathematical Programs with Cardinality Constraints Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

Leader-Following Consensus of Second-Order Multi-Agent Systems with Switching Topologies

verfasst von : Li Xiao, Xi Shi, Huaqing Li

Erschienen in: Advances in Global Optimization

Verlag: Springer International Publishing

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Abstract

A leader-following consensus problem of second-order multi-agent systems with switching topologies is considered in this thesis. The consensus problem of the multi-agent systems is converted to the stability problem of the error dynamical system here. By studying the stability properties of error switched systems consisting of both Hurwitz stable and unstable via the average dwell time approach, the necessary condition for the agents reaching leading-following consensus is obtained. It is found that if the average dwell time is chosen sufficiently large and the total activation time of unstable subsystems is relatively small compared with that of Hurwitz stable subsystems, the multi-agent systems can reach leader-following consensus. Finally, the effectiveness of the theoretical findings is demonstrated through some numerical examples.

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Vorheriges Kapitel A Teaching–Learning-Based Cuckoo Search for Constrained Engineering Design Problems
Nächstes Kapitel A Semismooth Newton Multigrid Method for Constrained Elliptic Optimal Control Problems
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Metadaten
Titel
Leader-Following Consensus of Second-Order Multi-Agent Systems with Switching Topologies
verfasst von
Li Xiao
Xi Shi
Huaqing Li
Copyright-Jahr
2015
Buch
Advances in Global Optimization

Print ISBN: 978-3-319-08376-6

Electronic ISBN: 978-3-319-08377-3

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-08377-3_38