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2017 | OriginalPaper | Buchkapitel

Coupling Design for Consensus in Switching Topologies with Time-Varying Delays

verfasst von : Heitor J. Savino, Fernando O. Souza, Luciano C. A. Pimenta

Erschienen in: Time Delay Systems

Verlag: Springer International Publishing

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Abstract

This chapter presents a method to design the coupling strengths between the agents in a network of multi-agent systems in order to enable the group to achieve consensus on a given variable of interest while subject to time-varying delays and switching topologies. The multiple time-varying delays are considered to be nonuniform and nondifferentiable acting in the agents’ control laws, and the topology switches are governed according to a continuous time Markov chain. The main result, formulated as conditions in the form of linear matrix inequalities, is obtained by analyzing the stability of an associated Markov jump linear system. The results are illustrated by a numerical example.

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Vorheriges Kapitel Transformations from Variable Delays to Constant Delays with Applications in Engineering and Biology

Nächstes Kapitel Analysis of a Model-Free Predictor for Delay Compensation in Networked Systems

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Titel: Coupling Design for Consensus in Switching Topologies with Time-Varying Delays
verfasst von: Heitor J. Savino
Fernando O. Souza
Luciano C. A. Pimenta
Verlag: Springer International Publishing
Buch: Time Delay Systems
Print ISBN: 978-3-319-53425-1

Electronic ISBN: 978-3-319-53426-8

Copyright-Jahr: 2017
DOI: https://doi.org/10.1007/978-3-319-53426-8_13

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