Synchronization Control of General Delayed Complex Networks Via LMI Approach
- 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/).
Cite this article
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 -