Paper Info
Title
A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol
Abstract
This paper deals with multi-agent systems that, due to using the generalized proportional Caputo fractional derivative, possess memories. The information exchange between agents does not occur continuously but only at fixed given update times, and the lower limit of the fractional derivative changes according to the update times. Two types of multi-agent systems are studied, namely systems without a leader and systems with a leader. For a generalized proportional Caputo fractional model of multi-agent linear dynamic systems, sufficient conditions for exponential stability via impulsive control are obtained. In the case of the presence of a leader in the multi-agent system, we derive sufficient conditions for the leader-following consensus via impulsive control based on the leader's influence. Simulation results are provided to verify the essential role of the generalized proportional Caputo fractional derivative and impulsive control in realizing the consensus of multi-agent systems. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Year
DOI
Venue
2022
10.1016/j.cnsns.2022.106756
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Keywords
DocType
Volume
Multi -agent systems, Leader, Consensus, Generalized proportional Caputo fractional, derivative, Impulsive control
Journal
115
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Martin Bohner1176.55
Snezhana Hristova200.34
Agnieszka B. Malinowska300.34
Maria Luisa Morgado400.34
Ricardo Almeida501.69