Proceedings of the 5th International Conference on Information Engineering for Mechanics and Materials

Consensus Problems on Small-world Networks with time delay

Authors
Jinjin Shi, Lei Gu
Corresponding Author
Jinjin Shi
Available Online July 2015.
DOI
10.2991/icimm-15.2015.24How to use a DOI?
Keywords
Consensus Problem; Small-world Network; Time Delay; Spectrum Radius; Laplacian matrix
Abstract

In this paper, we study the consensus problem on small-world network with time delay. In particular, we give the sufficient condition of the consensus problem reaching consensus base on a rigorous spectral analysis for the Laplacian matrix of small-world networks. Closed-form upper bound for the spectral radius for Watts-Strogatz type small-world network is presented. These general closed-form analytical results build the relationship between network topological characteristic and the network dynamical characteristic of time delay. Applying these results we can control the time delay given the network while we can also design the required small-world topology given the target time delay. Simulation results verify our analysis and close-form formula behave effectively in the design of the efficient small-world network with time delay robustness.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 5th International Conference on Information Engineering for Mechanics and Materials
Series
Advances in Engineering Research
Publication Date
July 2015
ISBN
978-94-62520-88-2
ISSN
2352-5401
DOI
10.2991/icimm-15.2015.24How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Jinjin Shi
AU  - Lei Gu
PY  - 2015/07
DA  - 2015/07
TI  - Consensus Problems on Small-world Networks with time delay
BT  - Proceedings of the 5th International Conference on Information Engineering for Mechanics and Materials
PB  - Atlantis Press
SP  - 121
EP  - 126
SN  - 2352-5401
UR  - https://doi.org/10.2991/icimm-15.2015.24
DO  - 10.2991/icimm-15.2015.24
ID  - Shi2015/07
ER  -