Distributed adaptive synchronization of complex dynamical network with unknown time-varying weights

A new approach of adaptive distributed control is proposed for a class of networks with unknown time-varying coupling weights. The proposed approach ensures that the complex dynamical networks achieve asymptotical synchronization and all the closed-loop signals are bounded. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible and asymptotical synchronization can be achieved even when the graph of network is not connected. Finally, a simulation example shows the feasibility and effectiveness of the approach.

[1]  Wenwu Yu,et al.  Distributed Adaptive Control of Synchronization in Complex Networks , 2012, IEEE Transactions on Automatic Control.

[2]  Wenwu Yu,et al.  Distributed Higher Order Consensus Protocols in Multiagent Dynamical Systems , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Wei Ren,et al.  Distributed consensus of linear multi-agent systems with adaptive dynamic protocols , 2011, Autom..

[4]  Junmi Li,et al.  Adaptive Synchronization of Nonlinearly Parameterized Complex Dynamical Networks with Unknown Time-Varying Parameters , 2012 .

[5]  Florian Dörfler,et al.  Exploring synchronization in complex oscillator networks , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[6]  Gang Feng,et al.  Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Youxian Sun,et al.  Synchronization of uncertain complex dynamical networks via adaptive control , 2009 .

[8]  Junan Lu.  Cluster Synchronization in a Complex Dynamical Network with Two Nonidentical Clusters , 2008, J. Syst. Sci. Complex..

[9]  G. Tao.  A simple alternative to the Barbalat lemma , 1997, IEEE Trans. Autom. Control..

[10]  Frank L. Lewis,et al.  Distributed adaptive control for synchronization of unknown nonlinear networked systems , 2010, Autom..

[11]  Chao He,et al.  Synchronization of Complex Dynamical Networks with Nonidentical Nodes and Derivative Coupling via Distributed Adaptive Control , 2013 .

[12]  Guo Xiao-Yong,et al.  Projective Synchronization of Complex Dynamical Networks with Time-Varying Coupling Strength via Hybrid Feedback Control , 2011 .

[13]  S. Strogatz.  Exploring complex networks , 2001, Nature.

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

[15]  Junmin Li,et al.  A new synchronization algorithm for delayed complex dynamical networks via adaptive control approach , 2012 .

[16]  Wenwu Yu,et al.  Distributed Consensus Filtering in Sensor Networks , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).