Synchronization Analysis of General Complex Dynamical Networks with Couplings Delays and Delays in the Dynamical Nodes

DOI

10.2991/meic-14.2014.77How to use a DOI?

Keywords

complex networks; coupling delays; delayed nodes; synchronization; linear matrix inequality

Abstract

In this paper, we first introduce a more general model of complex dynamical networks with coupling delays and delays in the dynamical nodes than before. Then we further study the synchronization analysis of the complex dynamical networks with coupling delays and delays in the dynamical nodes. Via the theory of Lyapunov-Krasovskii stability and linear matrix inequality (LMI) technique, we investigate the sufficient conditions about synchronization criteria by constructing appropriate Lyapunov functions. The new delay-dependent conditions presented in the paper are formulated in the form of LMI, which can be solved easily by the LMI toolbox in Matlab. 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 problem between the nonlinear electromechanical transducers has been investigated, which demonstrate the effectiveness of proposed results.

Copyright

© 2014, 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  - Haiyi Sun
AU  - Ning Li
AU  - Zhongtang Chen
AU  - Jinbao Wang
PY  - 2014/11
DA  - 2014/11
TI  - Synchronization Analysis of General Complex Dynamical Networks with Couplings Delays and Delays in the Dynamical Nodes
BT  - Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 344
EP  - 348
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-14.2014.77
DO  - 10.2991/meic-14.2014.77
ID  - Sun2014/11
ER  -