To read this content please select one of the options below:

Containment control of second-order multi-agent systems with directed topology and time-delays

Bin Qi (Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China)
Xuyang Lou (Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China)
Baotong Cui (Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China)

Kybernetes

ISSN: 0368-492X

Article publication date: 26 August 2014

322

Abstract

Purpose

The purpose of this paper is to discuss the impacts of the communication time-delays to the distributed containment control of the second-order multi-agent systems with directed topology.

Design/methodology/approach

A basic theoretical analysis is first carried out for the containment control of the second-order multi-agent systems under directed topology without communication time-delay and a sufficient condition is proposed for the achievement of containment control. Based on the above result and frequency-domain analysis method, a sufficient condition is also derived for the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delays. Finally, simulation results are presented to support the effectiveness of the theoretical results.

Findings

For the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delay, the control gain in the control protocols is completely dependent on the communication topology structure and the maximum of time-delay in the control protocols is dependent on the given control gain and communication topology structure.

Originality/value

The paper investigates the containment control of the second-order multi-agent systems under directed topology with communication time-delays and presents a sufficient conditions for the achievement of containment control. The results and approach proposed in the paper may benefit interesting researchers.

Keywords

Acknowledgements

The authors would like to thank the Co-Editor and all the anonymous reviewers for their constructive suggestions and comments. This work was supported in part by the National Natural Science Foundation of China (No. 61174021, No. 61104155), the Fundamental Research Funds for the Central Universities (No. JUSRP51322B) and the 111 Project (B12018).

Citation

Qi, B., Lou, X. and Cui, B. (2014), "Containment control of second-order multi-agent systems with directed topology and time-delays", Kybernetes, Vol. 43 No. 8, pp. 1248-1261. https://doi.org/10.1108/K-06-2013-0113

Publisher

:

Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

Related articles