Consensus Problems on Small-world Networks with time delay

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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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  -