Abstract
This paper concerns the synchronisation problems for coupled networks with multiple time-varying delays. By linearising complicated system to some time-delayed subsystems, some novel criteria are given to ensure the robust synchronisation for the complex systems with multiple delays. Moreover, the presented results are also applied to the system with single time delay, and the coupling configuration matrix is not necessarily symmetric. Since the results are expressed in the form of linear matrix inequality , the obtained criteria can be easily checked in practice. Finally, numerical examples are provided to show the effectiveness of the obtained results.
Additional information
Funding
Notes on contributors
![](/cms/asset/33df2ad7-64cd-435e-9557-1f4d70653e01/tsys_a_860638_uf0001_oc.jpg)
Xiaolin Dai
Xiaolin Dai received his BS, ME and PhD degree from the Harbin Institute of Technology, Harbin, in 1999, 2001 and 2009, respectively. Currently, he is with the School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu, China. His research interests include analysis and control of parallel manipulators.
![](/cms/asset/7a7965ca-fd53-4110-b5d7-44d39fb7f0c6/tsys_a_860638_uf0002_oc.jpg)
Dawei Gong
Dawei Gong received his PhD degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2012. Currently, he is a lecturer at the University of Electronic Science and Technology of China, Chengdu, China. His current research interests include neural networks, complex networks, fuzzy modelling and control, optimisation in process industries and intelligent optimisation algorithms.
![](/cms/asset/58f5e4c3-52dc-4094-9b8c-1e555812e0a7/tsys_a_860638_uf0003_oc.jpg)
Bonan Huang
Bonan Huang received his BS and MS degree in control theory and control engineering from Tianjin University in 2005 and Northeastern University in 2006, China, respectively. He is pursuing his PhD degree in control theory and control engineering at Northeastern University, China. His current research interests include neural networks and their applications in intelligent control, computational intelligence and optimisation theory.
![](/cms/asset/b2773dce-2d90-4a52-8689-1c2f33c1da1c/tsys_a_860638_uf0004_oc.jpg)