Control and Flocking of Networked Systems via Pinning

One of the main purposes for the study of complex network topology and modeling is to understand the influence of network structure on its function and consequently to find effective ways to improve network performance. This paper surveys some recent advances in pinning control approaches to making a dynamical network have a desired behavior. For a network with fixed topology, we review the feasibility, stability and effectiveness of pinning control and adaptive pinning control. We also review pinning-based flocking control of mobile multi-agent networked systems with time-varying topologies. Finally, we point out some future directions.

[1]  Roy,et al.  Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled system. , 1992, Physical review letters.

[2]  Qu,et al.  Controlling spatiotemporal chaos in coupled map lattice systems. , 1994, Physical review letters.

[3]  M. Cross,et al.  Pinning control of spatiotemporal chaos , 1997, chao-dyn/9705001.

[4]  Craig W. Reynolds.  Flocks, herds, and schools: a distributed behavioral model , 1998 .

[5]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

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

[7]  B. Crowther,et al.  Flocking of autonomous unmanned air vehicles , 2003, The Aeronautical Journal (1968).

[8]  Nigel W. John,et al.  Simulation of unmanned air vehicle flocking , 2003, Proceedings of Theory and Practice of Computer Graphics, 2003..

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

[10]  Roger Guimerà,et al.  Modeling the world-wide airport network , 2004 .

[11]  M. Beekman,et al.  Honeybee swarms: how do scouts guide a swarm of uninformed bees? , 2005, Animal Behaviour.

[12]  D. Ingber,et al.  High-Betweenness Proteins in the Yeast Protein Interaction Network , 2005, Journal of biomedicine & biotechnology.

[13]  I. Couzin,et al.  Effective leadership and decision-making in animal groups on the move , 2005, Nature.

[14]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

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

[16]  F. Garofalo,et al.  Pinning-controllability of complex networks , 2007, cond-mat/0701073.

[17]  Maurizio Porfiri,et al.  Criteria for global pinning-controllability of complex networks , 2008, Autom..

[18]  Chai Wah Wu.  Localization of effective pinning control in complex networks of dynamical systems , 2008, 2008 IEEE International Symposium on Circuits and Systems.

[19]  C. Wu.  On the relationship between pinning control effectiveness and graph topology in complex networks of dynamical systems. , 2008, Chaos.

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

[21]  Wen Yang,et al.  Flocking in multi‐agent systems with multiple virtual leaders , 2008 .

[22]  Xiang Li,et al.  Pinning a complex network through the betweenness centrality strategy , 2009, 2009 IEEE International Symposium on Circuits and Systems.

[23]  Wenwu Yu,et al.  On pinning synchronization of complex dynamical networks , 2009, Autom..

[24]  Xiao Fan Wang,et al.  Synchronization of coupled harmonic oscillators in a dynamic proximity network , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[25]  Xiao Fan Wang,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Trans. Autom. Control..

[26]  Guanrong Chen,et al.  A connectivity-preserving flocking algorithm for multi-agent systems based only on position measurements , 2009, Int. J. Control.

[27]  Xiang Li,et al.  Some Recent Advances in Complex Networks Synchronization , 2009, Recent Advances in Nonlinear Dynamics and Synchronization.

[28]  Jinde Cao,et al.  On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[29]  Xiao Fan Wang,et al.  Rendezvous of multiple mobile agents with preserved network connectivity , 2010, Syst. Control. Lett..

[30]  Xiang Li,et al.  Global stabilization of complex networks with digraph topologies via a local pinning algorithm , 2010, Autom..

[31]  Zhen Jia,et al.  The efficiency analysis of several categories of pinning strategies of a complex network , 2010, Proceedings of the 29th Chinese Control Conference.

[32]  Ali Jadbabaie,et al.  Non-Bayesian Social Learning , 2011, Games Econ. Behav..