Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays

Joint Authors

Shi, Mengji
Qin, Kaiyu
Liu, Jun
Li, Ping
Chen, Wei

Source

Mathematical Problems in Engineering

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-01-22

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

Due to the complex external environment, many multiagent systems cannot be precisely described or even cannot be described by an integer-order dynamical model and can only be described by a fractional-order dynamical model.

In this paper, consensus problems are investigated for two types of fractional-order multiagent systems (FOMASs) with nonuniform time delays: FOMAS with symmetric time delays and undirected topology and FOMAS with asymmetric time delays and directed topology.

Employing the Laplace transform and the frequency-domain theory, two delay margins are obtained to guarantee the consensus for the two types of FOMAS, respectively.

These results are also suitable for the integer-order dynamical model.

Finally, simulation results are provided to illustrate the effectiveness of our theoretical results.

American Psychological Association (APA)

Liu, Jun& Qin, Kaiyu& Chen, Wei& Li, Ping& Shi, Mengji. 2018. Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1206503

Modern Language Association (MLA)

Liu, Jun…[et al.]. Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1206503

American Medical Association (AMA)

Liu, Jun& Qin, Kaiyu& Chen, Wei& Li, Ping& Shi, Mengji. Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1206503

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1206503