Systems and Control

Current interests and research topics

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;
• 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
• 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.
• 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.
• 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.
• 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.