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\title{Conditional Consensus Emergence under
Decentralized Controls}
\author{Dante Kalise}
\institute{Radon Institute for Computational and Applied Mathematics, Linz}
\email{dante.kalise@oeaw.ac.at}
\coauthor{Mattia Bongini, \and Massimo Fornasier} % comment out if not needed

\mymaketitle

\section{Abstract}
We study the problem of consensus emergence in multi-agent systems via feedback control. We consider a set of agents interacting with dynamics given by the Cucker-Smale model, and study its consensus stabilization via centralized and decentralized control configurations. We present a characterization of consensus emergence for systems with a feedback based on spatially confined information, corresponding to a parameter-dependent transition regime between self-regulation and centralized feedback stabilization.


\paragraph{Acknowledgments}
This work has been supported by the FWF-START Project "Sparse Approximation and Optimization in High
Dimensions" , the ERC-Starting Grant HDSPCONTR "High-Dimensional
Sparse Optimal Control", and  the ITN - Marie Curie Grant n. 264735-SADCO. 

\begin{thebibliography}{9} 
\bibitem{preprint}
{\sc M.Bongini, M. Fornasier and D. Kalise}, {\em Conditional and Unconditional Consensus under
Decentralized Controls}, preprint.
 \bibitem{preprint}
{\sc M. Caponigro, M. Fornasier, B. Piccoli and E. Tr\'elat}, {\em Sparse Stabilization and Optimal Control of the Cucker-Smale Model}, Mathematical Control And Related Fields, Vol. 3, No. 4, December 2013, pp. 447-466.
\end{thebibliography}

\end{document}
