Exponentially stable solution of mathematical model of agents dynamics on time scales

Exponentially stable solution of mathematical model of agents dynamics on time scales

Abstract This work is an attempt at studying leader-following model on the arbitrary time scale. The step size is treated as a function of time. Our purpose is establishing conditions ensuring a leader-following consensus for any time scale basing on the Grönwall inequality. We give some examples il...

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Bibliographic Details
Main Authors: Ewa Schmeidel, Urszula Ostaszewska, Małgorzata Zdanowicz
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Advances in Difference Equations
Subjects:
Time scales
Leader-following problem
Grönwall inequality
Multi-agent systems
Graph theory
Online Access:http://link.springer.com/article/10.1186/s13662-019-2159-4

Internet

http://link.springer.com/article/10.1186/s13662-019-2159-4

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