Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay
Joint Authors
Qin, Kaiyu
Liu, Jun
Chen, Wei
Li, Ping
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-20
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is devoted to the consensus problems for a fractional-order multiagent system (FOMAS) with double integral and time delay, the dynamics of which are double-integrator fractional-order model, where there are two state variables in each agent.
The consensus problems are investigated for two types of the double-integrator FOMAS with time delay: the double-integrator FOMAS with time delay whose network topology is undirected topology and the double-integrator FOMAS with time delay whose network topology is directed topology with a spanning tree in this paper.
Based on graph theory, Laplace transform, and frequency-domain theory of the fractional-order operator, two maximum tolerable delays are obtained to ensure that the two types of the double-integrator FOMAS with time delay can asymptotically reach consensus.
Furthermore, it is proven that the results are also suitable for integer-order dynamical model.
Finally, the relationship between the speed of convergence and time delay is revealed, and simulation results are presented as a proof of concept.
American Psychological Association (APA)
Liu, Jun& Chen, Wei& Qin, Kaiyu& Li, Ping. 2018. Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1208191
Modern Language Association (MLA)
Liu, Jun…[et al.]. Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1208191
American Medical Association (AMA)
Liu, Jun& Chen, Wei& Qin, Kaiyu& Li, Ping. Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1208191
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208191