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author = "Sepulchre, Rodolphe"
<< < 2 3 4 5 6 > >>

Found 163 documents, displaying page 4 of 17

Time-optimal control of a 3-level quantum system and its generalization to an n-level system

Author(s) : Chang, Dong Eui , Sepulchre, Rodolphe
Description : We solve the problem of steering a three-level quantum system from one eigen-state to another in minimum time and study its possible extension to the time-optimal control problem for a general n-level quantum system. For the threelevel system we find all optimal controls by finding two types of symm...
Repository : ORBi (University of Liège)
Language(s) : English

STABILIZATION THROUGH WEAK AND OCCASIONAL INTERACTIONS : A BILLIARD BENCHMARK

Author(s) : Gerard, Manuel , Sepulchre, Rodolphe
Description : The paper addresses the stabilization of periodic orbits in a wedge billiard with actuated edges. It is shown how the rich dynamical properties of the open-loop dynamics, e.g. ergodicity properties and KAM curves, can be exploited to design robust stabilizing feedbacks with large basins of attractio...
Repository : ORBi (University of Liège)
Language(s) : English

Stabilization of periodic orbits in a wedge billiard

Author(s) : Sepulchre, Rodolphe , Gerard, Manuel
Description : This paper introduces a stabilization problem for an elementary impact control system in the plane. The rich dynamical properties of the wedge billiard, combined to the relevance of the associated stabilization problem for feedback control issues in legged robotics make it a valuable benchmark for e...
Repository : ORBi (University of Liège)
Language(s) : English

Global analysis of a continuous-time flow whith computes time-optimal switchings

Author(s) : Grognard, F. , Sepulchre, Rodolphe
Description : The minimum-time bounded control of linear systems is generically bang-bang and the number of switchings does not exceed the dimension of the system if the eigenvalues of the system matrix are real. This paper proposes a synthesis method for such problems based on dynamical systems that "compute" t...
Repository : ORBi (University of Liège)
Language(s) : English

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 the...
Repository : ORBi (University of Liège)
Language(s) : English

Synchronization on the circle

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

Robotics and neuroscience: A rhythmic interaction

Author(s) : Ronsse, Renaud , Lefevre, Philippe , Sepulchre, Rodolphe
Description : At the Crossing between Motor control neuroscience and robotics system theory, the paper presents a rhythmic experiment that is amenable both to handy laboratory implementation and simple mathematical modeling. The experiment is based on an impact juggling task, requiring the coordination of two upp...
Repository : DIAL - Dépôt Institutionnel de l'Académie Louvain
Language(s) : English

Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria

Author(s) : Aeyels, D. , Sepulchre, Rodolphe , Peuteman, J
Description : This paper presents some new criteria for uniform and nonuniform asymptotic stability of equilibria for time-variant differential equations and this within a Lyapunov approach. The stability criteria are formulated in terms of certain observability conditions with the output derived from the Lyapuno...
Repository : DIAL - Dépôt Institutionnel de l'Académie Louvain
Language(s) : English

Rhythmic feedback control of a blind planar juggler

Author(s) : Ronsse, Renaud , Lefèvre, Philippe , Sepulchre, Rodolphe
Description : The paper considers the feedback stabilization of periodic orbits in a planar juggler. The juggler is "blind," i.e, he has no other sensing capabilities than the detection of impact times. The robustness analysis of the proposed control suggests that the arms acceleration at impact is a crucial desi...
Repository : DIAL - Dépôt Institutionnel de l'Académie Louvain
Language(s) : English

Sensorless stabilization of bounce juggling

Author(s) : Ronsse, Renaud , Lefèvre, Philippe , Sepulchre, Rodolphe
Description : The paper studies the properties of a sinusoidally vibrating wedge billiard as a model for 2-D bounce juggling. It is shown that some periodic orbits that are unstable in the elastic fixed wedge become exponentially stable in the nonelastic vibrating wedge. These orbits are linked with certain class...
Repository : DIAL - Dépôt Institutionnel de l'Académie Louvain
Language(s) : English
<< < 2 3 4 5 6 > >>

Found 163 documents, displaying page 4 of 17