Proceedings of the International Conference on Management, Computer and Education Informatization

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Synchronization Control of General Delayed Complex Networks Via LMI Approach

Authors
Haiyi Sun, Ning Li, Zhongtang Chen, Hongmei Yan
Corresponding Author
Haiyi Sun
Available Online June 2015.
DOI
10.2991/mcei-15.2015.122How to use a DOI?
Keywords
Complex networks; Coupling delays; Delayed nodes; Synchronization control; Linear matrix inequalities (LMIs)
Abstract

This paper introduces a general model of complex dynamical networks with coupling delays and delays in the dynamical nodes. The synchronization control of the complex dynamical networks with coupling delays and delays in the dynamical nodes has been studied. Via the theory of Lyapunov-Krasovskii stability and linear matrix inequalities (LMIs) technique, we design the linear feedback synchronization controller for the coupling coefficients known by constructing appropriate Lyapunov functions, which can be solved easily by the LMI toolbox in MATLAB. The controller is very useful for understanding the mechanism of synchronization in complex dynamical networks with coupling delays and delays in the dynamical nodes. It should be pointed out that the node dynamic need not satisfy the very strong and the matrix is not assumed to be symmetric or irreducible. Moreover, the resulting for network synchronization are expressed in simple forms that can be readily applied in practical situations. The numerical example of the synchronization control problem has been illustrated how to this theorem can be applied to judge and achieve synchronization in complex networks with coupling delays and delays in the dynamical nodes.

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 International Conference on Management, Computer and Education Informatization
Series
Advances in Computer Science Research
Publication Date
June 2015
ISBN
10.2991/mcei-15.2015.122
ISSN
2352-538X
DOI
10.2991/mcei-15.2015.122How 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

risenwbib
TY  - CONF
AU  - Haiyi Sun
AU  - Ning Li
AU  - Zhongtang Chen
AU  - Hongmei Yan
PY  - 2015/06
DA  - 2015/06
TI  - Synchronization Control of General Delayed Complex Networks Via LMI Approach
BT  - Proceedings of the International Conference on Management, Computer and Education Informatization
PB  - Atlantis Press
SP  - 468
EP  - 472
SN  - 2352-538X
UR  - https://doi.org/10.2991/mcei-15.2015.122
DO  - 10.2991/mcei-15.2015.122
ID  - Sun2015/06
ER  -