Pinning Control of Uncertain Complex Networks to a Homogeneous Orbit

A sufficient condition for the stability of uncertain complex networks is derived in terms of linear matrix inequalities based on the V-stability tool, which associates the self-dynamics of nodes with passivity degrees. Then, a pinning control strategy is proposed on the developed condition to stabilize the uncertain complex networks to a homogenous orbit. As an illustrative example, a network with the Lorenz system as node self-dynamics is simulated to verify the analytic results.

[1]  Wang Xiaofan.  SYNCHRONIZATION IN COMPLEX DYNAMICAL NETWORKS , 2003 .

[2]  Donghua Zhou,et al.  Synchronization in uncertain complex networks. , 2006, Chaos.

[3]  Linying Xiang,et al.  Pinning control of complex dynamical networks with general topology , 2007 .

[4]  Tianping Chen,et al.  Synchronization in general complex delayed dynamical networks , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Bernd Michaelis,et al.  Synchronization in Complex Dynamical Networks , 2007, 2007 IEEE Symposium on Computational Intelligence and Bioinformatics and Computational Biology.

[6]  T.I. Fossen,et al.  Formation Control of Marine Surface Craft: A Lagrangian Approach , 2006, IEEE Journal of Oceanic Engineering.

[7]  Junan Lu,et al.  Pinning adaptive synchronization of a general complex dynamical network , 2008, Autom..

[8]  Guanrong Chen,et al.  Pinning control of scale-free complex networks , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[9]  Xiao Fan Wang,et al.  Complex Networks: Topology, Dynamics and Synchronization , 2002, Int. J. Bifurc. Chaos.

[10]  Guanrong Chen,et al.  Robust adaptive synchronization of uncertain dynamical networks , 2004 .

[11]  Jiang-Wen Xiao,et al.  Global synchronization of complex dynamical networks with network failures , 2010 .

[12]  Xiang Li,et al.  Pinning a complex dynamical network to its equilibrium , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[13]  M. di Bernardo,et al.  Synchronization in weighted scale-free networks with degree-degree correlation , 2006 .

[14]  Tianping Chen,et al.  Pinning Complex Networks by a Single Controller , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

[16]  Ji Xiang,et al.  On the V-stability of complex dynamical networks , 2007, Autom..

[17]  Guanrong Chen,et al.  Pinning control of scale-free dynamical networks , 2002 .