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Consensus of Multiagent Systems Described by Various Noninteger Derivatives
Joint Authors
Fernández-Anaya, Guillermo
Nava-Antonio, G.
Hernández-Martínez, E. G.
Ferreira-Vázquez, E. D.
Flores-Godoy, J. J.
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
These differ by being modeled with one of the following fractional derivatives: the Caputo derivative, the Caputo distributed order derivative, the variable order derivative, the conformable derivative, the local fractional derivative, or the distributed order conformable derivative (the latter defined in this work).
Additionally, we apply these results to study the consensus of a fractional multiagent system, considering all of the aforementioned fractional operators.
Our analysis covers multiagent systems with linear and nonlinear dynamics, affected by bounded external disturbances and described by fixed directed graphs.
Lastly, examples, which are solved analytically and numerically, are presented to validate our contributions.
American Psychological Association (APA)
Nava-Antonio, G.& Fernández-Anaya, Guillermo& Hernández-Martínez, E. G.& Flores-Godoy, J. J.& Ferreira-Vázquez, E. D.. 2019. Consensus of Multiagent Systems Described by Various Noninteger Derivatives. Complexity،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1131385
Modern Language Association (MLA)
Nava-Antonio, G.…[et al.]. Consensus of Multiagent Systems Described by Various Noninteger Derivatives. Complexity No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1131385
American Medical Association (AMA)
Nava-Antonio, G.& Fernández-Anaya, Guillermo& Hernández-Martínez, E. G.& Flores-Godoy, J. J.& Ferreira-Vázquez, E. D.. Consensus of Multiagent Systems Described by Various Noninteger Derivatives. Complexity. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1131385
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131385