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Necessary and sufficient conditions for containment control of multi-agent systems with time delay

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Indexed by:期刊论文

Date of Publication:2019-05-01

Journal:AUTOMATICA

Included Journals:SCIE、EI

Volume:103

Page Number:418-423

ISSN No.:0005-1098

Key Words:Multi-agent systems; Iterative method; Containment control; z -transformation; Routh criterion

Abstract:In this paper, the containment control problem for the discrete-time multi-agent systems with first order dynamics is discussed. We first provide the necessary and sufficient condition for containment control without time-delay which is related to the value of the step-size and the structure of the interaction topology through the iterative method. Further, time-delay is taken into account making use of z-transformation and Routh Criterion. Finally, numerical simulations are provided to explain the influence of different step-sizes on stability of the multi-agent systems and testify the obtained results. (C) 2019 Elsevier Ltd. All rights reserved.

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