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author = "Sepulchre, Rodolphe"
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Found 163 documents, displaying page 1 of 17

Oscillators as Systems and Synchrony as a Design Principle

Author(s) : Sepulchre, Rodolphe
Description : The chapter presents an expository survey of ongoing research by the author on a system theory for oscillators. Oscillators are regarded as open systems that can be interconnected to robustly stabilize ensemble phenomena characterized by a certain level of synchrony. The first part of the chapter pr...
Repository : ORBi (University of Liège)
Language(s) : English

Slow Peaking and Low-Gain Designs for Global Stabilization of Nonlinear Systems

Author(s) : Sepulchre, Rodolphe
Description :
Repository : ORBi (University of Liège)
Language(s) : English

Consensus on Nonlinear Spaces

Author(s) : Sepulchre, Rodolphe
Description : 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 s...
Repository : ORBi (University of Liège)
Language(s) : English

Feedback control of impact dynamics: the bouncing ball revisited

Author(s) : Ronsse, Renaud , Sepulchre, Rodolphe
Description : We study the the design of a tracking controller for the popular bouncing ball model: the continuous-time actuation of a table is used to control the impacts of the table with a bouncing ball. The proposed control law uses the impact times as the sole feedback information. We show that the accelerat...
Repository : DIAL - Dépôt Institutionnel de l'Académie Louvain
Language(s) : English

Synchronization in Networks of Identical Linear Systems

Author(s) : Scardovi, Luca , Sepulchre, Rodolphe
Description : 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 is the construction of a dynamic output feedback coupling that achieves synchronization if the decoupled systems have...
Repository : arXiv
Language(s) : Undetermined

Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank

Author(s) : Bonnabel, Silvere , Sepulchre, Rodolphe
Description : This paper introduces a new metric and mean on the set of positive semidefinite matrices of fixed-rank. The proposed metric is derived from a well-chosen Riemannian quotient geometry that generalizes the reductive geometry of the positive cone and the associated natural metric. The resulting Riema...
Repository : arXiv
Language(s) : Undetermined

Consensus optimization on manifolds

Author(s) : Sarlette, Alain , Sepulchre, Rodolphe
Description : The present paper considers distributed consensus algorithms that involve N agents evolving on a connected compact homogeneous manifold. The agents track no external reference and communicate their relative state according to a communication graph. The consensus problem is formulated in terms of t...
Repository : arXiv
Language(s) : Undetermined

Synchronization on the circle

Author(s) : Sarlette, Alain , Sepulchre, Rodolphe
Description : The goal of the present paper is to highlight the fundamental differences of so-called synchronization or consensus algorithms when the agents to synchronize evolve on a compact homogeneous manifold (like the circle, sphere or the group of rotation matrices), instead of a vector space. For the ben...
Repository : arXiv
Language(s) : Undetermined

Global analysis of a continuum model for monotone pulse-coupled oscillators

Author(s) : Mauroy, Alexandre , Sepulchre, Rodolphe
Description : We consider a continuum of phase oscillators on the circle interacting through an impulsive instantaneous coupling. In contrast with previous studies on related pulse-coupled models, the stability results obtained in the continuum limit are global. For the nonlinear transport equation governing th...
Repository : arXiv
Language(s) : Undetermined

The geometry of low-rank Kalman filters

Author(s) : Bonnabel, Silvere , Sepulchre, Rodolphe
Description : An important property of the Kalman filter is that the underlying Riccati flow is a contraction for the natural metric of the cone of symmetric positive definite matrices. The present paper studies the geometry of a low-rank version of the Kalman filter. The underlying Riccati flow evolves on the ...
Repository : arXiv
Language(s) : Undetermined
1 2 3 4 5 > >>

Found 163 documents, displaying page 1 of 17