Asymptotical consensus of fractional-order multi-agent systems with current and delay states

Donal O'Regan

doi:10.1007/s10483-019-2533-8

Asymptotical consensus of fractional-order multi-agent systems with current and delay states

Donal O'Regan

Mathematics

Sichuan University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

17 Citations (Scopus)

Abstract

In this paper, we study some new fractional-order multi-agent systems with current and delay states (FMASCD). Using the generalized Nyquists stability criterion and Gerschgorins circle theorem, we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions. Moreover, we give some numerical examples to illustrate our main results.

Original language	English (Ireland)
Pages (from-to)	1677-1694
Number of pages	18
Journal	Applied Mathematics And Mechanics-English Edition
Volume	40
Issue number	11
DOIs	https://doi.org/10.1007/s10483-019-2533-8
Publication status	Published - 1 Oct 2019

Keywords

Asymptotical consensus
Current state
Delay state
Fractional-order multi-agent system (FMAS)

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Wang, XH,Li, XS,Huang, NJ,O'Regan, D

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10.1007/s10483-019-2533-8

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abstract = "In this paper, we study some new fractional-order multi-agent systems with current and delay states (FMASCD). Using the generalized Nyquists stability criterion and Gerschgorins circle theorem, we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions. Moreover, we give some numerical examples to illustrate our main results.",

keywords = "Asymptotical consensus, Current state, Delay state, Fractional-order multi-agent system (FMAS)",

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Y1 - 2019/10/1

N2 - In this paper, we study some new fractional-order multi-agent systems with current and delay states (FMASCD). Using the generalized Nyquists stability criterion and Gerschgorins circle theorem, we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions. Moreover, we give some numerical examples to illustrate our main results.

AB - In this paper, we study some new fractional-order multi-agent systems with current and delay states (FMASCD). Using the generalized Nyquists stability criterion and Gerschgorins circle theorem, we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions. Moreover, we give some numerical examples to illustrate our main results.

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KW - Current state

KW - Delay state

KW - Fractional-order multi-agent system (FMAS)

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ER -

Asymptotical consensus of fractional-order multi-agent systems with current and delay states

Abstract

Keywords

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