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Consensus on Nonlinear Spaces
Sepulchre, Rodolphe
2010In Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems
Peer reviewed
 

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Abstract :
[en] Consensus problems have attracted significant attention in the control community over the last decade. They act as a rich source of new mathematical problems pertaining to the growing field of cooperative and distributed control. This paper is an introduction to consensus problems whose underlying state-space is not a linear space, but instead a highly symmetric nonlinear space such as the circle and other relevant generalizations. A geometric approach is shown to highlight the connection between several fundamental models of consensus, synchronization, and coordination, to raise significant global convergence issues not present in linear models, and to be relevant for a number of engineering applications, including the design of planar or spatial coordinated motions.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Sepulchre, Rodolphe ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
Consensus on Nonlinear Spaces
Publication date :
September 2010
Event name :
8th IFAC Symposium on Nonlinear Control Systems
Event place :
Bologna, Italy
Event date :
du 01 au 03 septembre 2010
By request :
Yes
Audience :
International
Main work title :
Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems
Peer reviewed :
Peer reviewed
Available on ORBi :
since 06 December 2010

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