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» Consensus on homogeneous manifolds
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CDC
2009
IEEE
161views Control Systems» more  CDC 2009»
15 years 5 months ago
Consensus on homogeneous manifolds
Abstract— The present paper considers distributed consensus algorithms for agents evolving on a connected compact homogeneous (CCH) manifold. The agents track no external referen...
Alain Sarlette, Rodolphe Sepulchre
95
Voted
FOCM
2002
108views more  FOCM 2002»
15 years 6 days ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
76
Voted
ADCM
2007
75views more  ADCM 2007»
15 years 17 days ago
Radial basis interpolation on homogeneous manifolds: convergence rates
Jeremy Levesley, D. L. Ragozin
104
Voted
CDC
2010
IEEE
138views Control Systems» more  CDC 2010»
14 years 7 months ago
Consensus in non-commutative spaces
Convergence analysis of consensus algorithms is revisited in the light of the Hilbert distance. The Lyapunov function used in the early analysis by Tsitsiklis is shown to be the Hi...
Rodolphe Sepulchre, Alain Sarlette, Pierre Rouchon
92
Voted
CDC
2010
IEEE
118views Control Systems» more  CDC 2010»
14 years 7 months ago
Networked clock synchronization based on second order linear consensus algorithms
In this paper a distributed algorithm for clock synchronization is proposed. This algorithm is based on an extension of the consensus algorithm able to synchronize a family of dou...
Ruggero Carli, Sandro Zampieri