Consensus of multi-agent systems with state and input delays via non-fragile protocol

This paper studies the non-fragile consensus problem of nonlinear multi-agent systems (MASs) with state and input time-varying delays. The main purpose of this paper is to provide new approaches for the non-fragile consensus research of MASs with time-varying delay. To achieve this goal, a quadratic...

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Bibliographic Details
Published inInternational journal of systems science Vol. 53; no. 12; pp. 2584 - 2596
Main Authors Peng, Xiao-Jie, He, Yong
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 10.09.2022
Taylor & Francis Ltd
Subjects
Criteria
Lyapunov-Krasovskii functional (LKF)
multi-agent systems (MASs)
Multiagent systems
Non-fragile concensus
Nonlinear systems
Polynomials
Quadratic equations
time-varying delay
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Summary:This paper studies the non-fragile consensus problem of nonlinear multi-agent systems (MASs) with state and input time-varying delays. The main purpose of this paper is to provide new approaches for the non-fragile consensus research of MASs with time-varying delay. To achieve this goal, a quadratic polynomial Lyapunov-Krasovskii functional is constructed and the generalised free-matrix-based integral inequality is employed. In addition, the quadratic function negative-determination method is applied to the consensus analysis of MASs with controller gain fluctuation. Finally, two novel consensus criteria are established. A simulation example is given to examine the effectiveness and superiority of the obtained criteria.
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ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2022.2037782