3 papers
math.OC2008
Coordinated motion design on Lie groups
Alain Sarlette, Silvère Bonnabel, Rodolphe Sepulchre
The present paper proposes a unified geometric framework for coordinated motion on Lie groups. It first gives a general problem formulation and analyzes ensuing conditions for coor…
math.OC2008
Stabilization of Three-Dimensional Collective Motion
Luca Scardovi, Naomi Leonard, Rodolphe Sepulchre
This paper proposes a methodology to stabilize relative equilibria in a model of identical, steered particles moving in three-dimensional Euclidean space. Exploiting the Lie group…
math.OC2008
Synchronization in Networks of Identical Linear Systems
Luca Scardovi, Rodolphe Sepulchre
The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result…