Dynamic modeling of discrete leader-following consensus with impulses

Snezhana Hristova; Kremena Stefanova; Angel Golev; Snezhana Hristova; Kremena Stefanova; Angel Golev

doi:10.3934/math.2019.5.1386

AIMS Mathematics

2019, Volume 4, Issue 5: 1386-1402. doi: 10.3934/math.2019.5.1386

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Research article Special Issues

Dynamic modeling of discrete leader-following consensus with impulses

Department of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 236 Bulgaria Blvd., Plovdiv 4027, Bulgaria

Received: 29 July 2019 Accepted: 16 August 2019 Published: 16 September 2019
MSC : 39A30, 92B20

A leader-following consensus of discrete-time multi-agent systems with nonlinear intrinsic dynamics and impulses is investigated. We propose and prove conditions ensuring a leader-following consensus. Numerical examples are given to illustrate effectiveness of the obtained results. Also, the necessity and sufficiency of the obtained conditions are shown.
- neural networks,
- discrete models,
- leader-following consensus,
- impulses
Citation: Snezhana Hristova, Kremena Stefanova, Angel Golev. Dynamic modeling of discrete leader-following consensus with impulses[J]. AIMS Mathematics, 2019, 4(5): 1386-1402. doi: 10.3934/math.2019.5.1386

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Abstract

A leader-following consensus of discrete-time multi-agent systems with nonlinear intrinsic dynamics and impulses is investigated. We propose and prove conditions ensuring a leader-following consensus. Numerical examples are given to illustrate effectiveness of the obtained results. Also, the necessity and sufficiency of the obtained conditions are shown.

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