Title :
Pinning Synchronization of Directed Complex Dynamical Networks with Multi-links
Author :
Sun, Haiyi ; Zhang, QingLing ; Li, Ning ; Niu, Hong
Author_Institution :
Inst. of Syst. Sci., Shenyang JianZhu Univ., Shenyang, China
Abstract :
Based on a method of network split through different nature of time-delay, this paper is further investigates the pinning synchronization of the directed complex dynamical networks with multi-links. Via the theory of Lyapunov stability combined with linear matrix inequalities (LMIs) technique and the method of the free-weighting matrix, some sufficient conditions for global synchronization by adding linear feedback controllers to a part of nodes are obtained. Numerical examples are also provided to demonstrate the effectiveness of the theory.
Keywords :
Lyapunov methods; delays; feedback; linear matrix inequalities; nonlinear dynamical systems; stability; synchronisation; Lyapunov stability; directed complex dynamical networks; free-weighting matrix; linear feedback controllers; linear matrix inequalities technique; network split; pinning synchronization; time-delay; Chaos; Complex networks; Couplings; Linear matrix inequalities; Sun; Symmetric matrices; Synchronization; directed complex networks with multi-links; global synchronization; linear matrix inequality; network split; pinning control;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.49
