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* This page is not updated regularly. However, most of our papers can be downloaded from the publication list . Links to selected papers provide a short abstract, publication data,
and links to postscript (zip) or PDF files and to related topics.*

**Dynamics and control of bounce juggling (M. Gerard, Ph. Lefevre, R. Ronsse, R. Sepulchre)**- a recent talk, semiplenary lecture at the 16th MTNS, July 2004.
- A video of our sensorless juggler
- Renaud Ronsse's homepage (see research interests)
- Stabilization
through weak and occasional interactions: a billiard benchmark

M. Gerard, R. Sepulchre (2004) - Open-loop
stabilization of 2D impact juggling.

R. Ronsse, Ph. Lefèvre, R. Sepulchre (2004). - Stabilization
of periodic orbits in a wedge billiard

R. Sepulchre, M. Gerard (2003)

**Oscillators as systems: a dissipativity approach (R. Sepulchre, G. Stan)**- a recent talk, plenary lecture at 1st CTS workshop, July 2004)
- Feedback
mechanisms for global oscillations in Lure systems

R. Sepulchre, G.-B. Stan (2004) - Dissipativity
and global analysis of limit cycles in networks of oscillators.

G-B. Stan, R. Sepulchre (2004).

**Dynamics and control of collective motion (D. Paley, N. Leonard, R. Sepulchre)**- a recent seminar on this topic
- Collective
motion and oscillator synchronization

R. Sepulchre, D. Paley, N. Leonard (2003)

**Geometry of numerical and optimization algorithms (P.-A. Absil, R. Mahony, R. Sepulchre, P. Van Dooren)**- Pierre-Antoine Absil's homepage (including talks and Ph.D. thesis)
- Continuous-time subspace flows related to the symmetric eigenvalue problem
- P.-A. Absil, R. Mahony, R. Sepulchre (2004)

- Cubically
convergent iterations for invariant subspace computation

P.-A. Absil, R. Sepulchre, P. Van Dooren, R. Mahony.(2003)

- Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
- P.-A. Absil, R. Mahony, R. Sepulchre (2002)
- Two-sided Grassmann Rayleigh quotient
iteration

P.-A. Absil, P. Van Dooren. (2002)

- A Grasmann-Rayleigh quotient iteration
for computing invariant subspaces

P.-A. Absil, R. Mahony, R. Sepulchre, P. Van Dooren. - The continuous-time Rayleigh quotient
flow on the sphere

P.-A. Absil, R. E. Mahony. - The continuous-time Rayleigh quotient
flow on the Grassmann manifold

P.-A. Absil, R. E. Mahony, R. Sepulchre. - Continuous dynamical systems that
realize discrete optimization on the hypercube

P.-A. Absil, R. Sepulchre. - Shift policies in QR-like algorithms
and feedback control of self-similar flows

P. Van Dooren, R. Sepulchre.

**Control of linear systems with time-domain constraints**- Control of linear systems with
affine constraints: a gain-scheduling approach

F. Grognard, R. Sepulchre, G. Bastin. - Improved performance of low-gain
designs for bounded control of linear systems

F. Grognard, R. Sepulchre, G. Bastin. - Dynamical systems that compute
time-optimal switchings

F. Grognard, R. Sepulchre, J. De Doná - Global stability of a continuous-time
flow which computes time-optimal switchings

F. Grognard, R. Sepulchre;

- Control of linear systems with
affine constraints: a gain-scheduling approach
**Nonlinear analysis of cardiac rhythm fluctuations**- Nonlinear analysis of cardiac rhythm fluctuations
using DFA method

P.-A. Absil, R. Sepulchre, A. Bilge, P. Gérard. - Sleep apnea syndrome diagnosis by
analysis of the cardiac interbeat RR time series

P.-A. Absil, R. Sepulchre, A. Bilge, P. Gérard. - Nonlinear analysis of cardiological
signals towards clinical applications

P.-A. Absil

- Nonlinear analysis of cardiac rhythm fluctuations
using DFA method
**Peaking and obstacles to large regions of attraction**- Stability of perturbed functional differential
equations and stabilization of nonlinear cascades

W. Michiels, R. Sepulchre, D. Roose - Slow peaking and low-gain designs
for global stabilization of nonlinear systems

R. Sepulchre.

- Stability of perturbed functional differential
equations and stabilization of nonlinear cascades
**Global stabilization methods**- Stabilization and disturbance attenuation
of nonlinear systems using dissipativity theory

A. Astolfi, R. Ortega, R. Sepulchre.

- Global stabilization of feedforward
systems with exponentially unstable Jacobian linearization

F. Grognard, R. Sepulchre, G. Bastin. - CLF Based designs with
robustness to dynamic input uncertainties

M. Jankovic, R. Sepulchre, P.V. Kokotovic.

- Lyapunov functions for stable cascades
and applications to stabilization

F. Mazenc, R. Sepulchre, M. Jankovic.

- Stability margins of nonlinear receding
horizon control via inverse optimality

L. Magni, R. Sepulchre. - Global adaptive stabilization of
cascade nonlinear systems

M. Jankovic, R. Sepulchre, and P.V. Kokotovic. - Integrator forwarding: a new
recursive nonlinear robust design

R. Sepulchre, M. Jankovic, and P.V. Kokotovic.

- Recursive designs and feedback
passivation

R. Sepulchre, M. Jankovic, P.V. Kokotovic. - Constructive Lyapunov stabilization
of nonlinear cascade systems

M. Jankovic, R. Sepulchre, and P.V. Kokotovic.

- Stabilization and disturbance attenuation
of nonlinear systems using dissipativity theory
**Analysis of time-varying systems**- A duality principle for homogeneous
vector fields with applications

L. Moreau, D. Aeyels, J. Peuteman, R. Sepulchre

- Boundedness properties for time-varying
nonlinear systems

J. Peuteman, D. Aeyels, R. Sepulchre.

- Asymptotic stability conditions
for time-variant systems and its relation to observability

D. Aeyels, R. Sepulchre, J. Peuteman.

- A duality principle for homogeneous
vector fields with applications
**Applications of nonlinear control**- Delayed control of a Moore-Greitzer
axial compressor model

W. Aernouts, R. Sepulchre, D. Roose. - Dynamic control of axial compressors

M. Larsen, B. Coller, R. Sepulchre, P. Kokotovic. - Shape signifiers for throttle control
of a low-order compressor model

R. Sepulchre and P.V. Kokotovic. - Robust stabilization of a cement
mill model

F. Grognard, F. Jadot, L. Magni, G. Bastin, R. Sepulchre, V. Wertz. - A hybrid control scheme for swing-up
acrobatics

P.-A. Absil, R. Sepulchre.

- Delayed control of a Moore-Greitzer
axial compressor model