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CDC
2009
IEEE
161views Control Systems» more  CDC 2009»
13 years 9 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
FOCM
2002
108views more  FOCM 2002»
13 years 4 months 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
CDC
2010
IEEE
138views Control Systems» more  CDC 2010»
12 years 11 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
CDC
2010
IEEE
118views Control Systems» more  CDC 2010»
12 years 11 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