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Nonlinear Dynamics

, Volume 79, Issue 1, pp 731–741 | Cite as

Finite-time stabilization and synchronization of complex dynamical networks with nonidentical nodes of different dimensions

  • Manchun TanEmail author
  • Wenxiu Tian
Original Paper

Abstract

A class of complex dynamical networks, in which the nodes have different state dimensions, is investigated in this paper. Since the networks constructed by nonidentical nodes with different state dimensions may exhibit different dynamical behavior, the appropriate control strategies are proposed for the stabilization and synchronization of such complex networks. By employing suitable controllers, sufficient conditions for finite-time stabilization and synchronization are derived based on the finite-time stability theory. It is noticed that the coupling configuration matrix is not necessary to be symmetric or irreducible, and the inner coupling matrix need not be symmetric. Finally, numerical examples are presented to show the effectiveness of the proposed control methods.

Keywords

Complex dynamical network  Finite-time Stabilization Synchronization Nonidentical node 

Notes

Acknowledgments

The research is supported by grants from the Natural Science Foundation of Guangdong Province in China (No. 9151001003000005), and the Fundamental Research Funds for the Central Universities (No. 21612443), and the National Natural Science Foundation of China (No.11471083).

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of MathematicsJinan UniversityGuangzhouChina

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