Leader-following consensus of fractional nonlinear multiagent systems involving a Caputo-type derivative

This paper is devoted to the leader-following problem involving a Caputo-type fractional derivative with respect to another function, which is a mathematical model describing dynamics of the leader and a number of agents. The sufficient conditions are given to guarantee that the leader-following con...

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Bibliographic Details
Main Authors: Schmeidel, Ewa, Zdanowicz, Malgorzata
Format: Conference Proceeding
Language:English
Subjects:
Fixed points (mathematics)
Multiagent systems
Nonlinear systems
Volterra integral equations
Online Access:Get full text
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Summary:This paper is devoted to the leader-following problem involving a Caputo-type fractional derivative with respect to another function, which is a mathematical model describing dynamics of the leader and a number of agents. The sufficient conditions are given to guarantee that the leader-following consensus is achieved in the system. The main tools in the investigation are the properties of Volterra equations and a standard fixed point theorem.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5114027