Consensus with constrained convergence rate and time-delays

Irinel-Constantin Morarescu 1 Silviu-Iulian Niculescu 2, 3 Antoine Girard 4
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
3 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : In this paper we discuss consensus problems for networks of dynamic agents with fixed and switching topologies in presence of delay in the communication channels. The study provides sufficient agreement conditions in terms of delay and the second largest eigenvalue of the Perron matrices defining the collective dynamics. We found an exact delay bound assuring the initial network topology preservation. We also present an analysis of the agreement speed when the asymptotic consensus is achieved. Some numerical examples complete the presentation.
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Submitted on : Friday, December 21, 2012 - 2:35:57 PM
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Irinel-Constantin Morarescu, Silviu-Iulian Niculescu, Antoine Girard. Consensus with constrained convergence rate and time-delays. Rifat Sipahi, Tomáš Vyhlídal, Silviu-Iulian Niculescu, Pepe Pierdomenico. Time Delay Systems: Methods, Applications and New Trends, 423, Springer, pp.417-428, 2012, Lecture Notes in Control and Information Sciences, ⟨10.1007/978-3-642-25221-1_32⟩. ⟨hal-00768438⟩



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