Synchronization for Nonlinear Complex Spatio-Temporal Networks with Multiple Time-Invariant Delays and Multiple Time-Varying Delays Academic Article uri icon


  • 2018, Springer Science+Business Media, LLC, part of Springer Nature. This paper deals with the problem for synchronization of a nonlinear time delayed complex spatio-temporal network (CSN), modelled by semi-linear parabolic partial differential-difference equations. A boundary controller relying to distributed measurement is designed. Multiple time-invariant delays are firstly considered. By employing Lyapunovs direct method and Wirtingers inequality, synchronization criteria of the CSN are presented in terms of LMIs. And then, multiple time-varying delays are respectively considered using the boundary controller and synchronization criteria are obtained. Finally, an example illustrates the effectiveness of the proposed method.

published proceedings


author list (cited authors)

  • Yang, C., Huang, T., Yi, K., Zhang, A., Chen, X., Li, Z., Qiu, J., & Alsaadi, F. E.

citation count

  • 5

complete list of authors

  • Yang, Chengdong||Huang, Tingwen||Yi, Kejia||Zhang, Ancai||Chen, Xiangyong||Li, Zhenxing||Qiu, Jianlong||Alsaadi, Fuad E

publication date

  • October 2019