Publications of Rodolphe SEPULCHRE

Preprints

If you wish to obtain a preprint not available from this web page, send me an email .

• Consensus under general convexity
  S. Emre Tuna, Rodolphe J. Sepulchre
  Accepted for presentation at the 7th IFAC Symposium on Nonlinear Control Systems, Pretoria, South-Africa, August 2007.

• Gradient-optimization on the orthogonal group for independent component analysis
  M. Journee, P.-A. Absil and R. Sepulchre
  7th To appear in the Proceedings of the 2007 International Conference on Independent Component Analysis and Blind Signal Separation, September 2007.

• Autonomous rigid body attitude synchronization
  Alain Sarlette, Rodolphe J. Sepulchre, Naomi Ehrich Leonard
  Submitted to the 46th IEEE Conference on Decision and Control, New Orleans, LA (USA), December 2007

• Alternating Spatial Patterns for Coordinated Group Motion
  Daniel Swain, Naomi Ehrich Leonard, Iain Couzin, Albert Kao, Rodolphe J. Sepulchre
  Submitted to the 46th IEEE Conference on Decision and Control, New Orleans, LA (USA), December 2007

• Spatial Models of Bistability in Biological Collectives
  Derek A. Paley, Naomi Ehrich Leonard, Rodolphe J. Sepulchre, Iain Couzin
  Submitted to the 46th IEEE Conference on Decision and Control, New Orleans, LA (USA), December 2007

• A Hybrid Systems Approach to Trajectory Tracking Control for Juggling Systems
  Ricardo G. Sanfelice, Andrew R. Teel, Rodolphe J. Sepulchre
  Submitted to the 46th IEEE Conference on Decision and Control, New Orleans, LA (USA), December 2007

• Stabilization of Collective Motion in Three Dimensions: A Consensus Approach
  Luca Scardovi, Naomi Ehrich Leonard, Rodolphe J. Sepulchre
  Submitted to the 46th IEEE Conference on Decision and Control, New Orleans, LA (USA), December 2007

• Elucidating the Altered Transcriptional Programs in Breast Cancer using Independent Component Analysis
  Andrew E. Teschendorff , Michel Journee, P.-A. Absil, Rodolphe Sepulchre and Carlos Caldas.
  Submitted to PLoS Computational Biology, 2007.

• Consensus Optimization on Manifolds
  A. Sarlette, and R. Sepulchre
  Submitted to SICON special issue on Control and Optimization in Cooperative Networks, 2007

• Geometric optimization methods for the analysis of gene expression data
  M. Journee, A. E. Teschendorff, P.-A. Absil, S. Tavare, and R. Sepulchre.
  To appear in "Principal Manifolds for Data Visualisation and Dimension Reduction" (A. Gorban, B. Kegl, A. Zinovyev, eds.), Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2007.

• Trading performance for robustness in rhythmic movements
  R. Ronsse, J.-L. Thonnard, Ph. Lefevre, R. Sepulchre.
  Submitted to Journal of Neurophysiology, 2007.

• Robotics and neuroscience: a rhythmic interaction.
  R. Ronsse, Ph. Lefevre, R. Sepulchre.
  Submitted to Neural Networks, 2006.

• Time-Optimal Control of a 3-Level Quantum System and Its Generalization to an N-Level System
  Dong-Eui Chang, Rodolphe Sepulchre
  Proceedings of the 26th American Control Conference (ACC 2007), Times Square, New York City, USA, July 11-13, 2007

• Output Synchronization in Networks of Cyclic Biochemical Oscillators
  Guy-Bart STAN, Abdullah Hamadeh, Rodolphe J. Sepulchre, Jorge M. Goncalves
  Proceedings of the 26th American Control Conference (ACC 2007), Times Square, New York City, USA, July 11-13, 2007

• Stabilization of planar collective motion with limited communication
  R. Sepulchre, D. Paley, N. Leonard
  Accepted for publication in IEEE Transactions on Automatic Control, 2007

• Adaptive regulation of induction motors
  F. Jadot, F. Malrait, J. Moreno, and R. Sepulchre
  Submitted to IEEE Transactions on Control Systems Technology, 2007.

• Oscillator Models and Collective Motion: Spatial Patterns in the Dynamics of Engineered and Biological Networks
  D. Paley, N. Leonard, R. Sepulchre, D. Grünbaum
  To appear in IEEE Control Systems Magazine, August 2007.

  Journal papers and chapters in books
  

• Stabilization of planar collective motion with all-to-all communication
  R. Sepulchre, D. Paley, N. Leonard
  IEEE Transactions on Automatic Control, Vol. 52, no 5, pp. 811-824, 2007.
  

• Analysis of interconnected oscillators by dissipativity theory
  G.-B. Stan, R. Sepulchre
  IEEE Transactions on Automatic Control, Vol. 52, no 2, pp. 256-270, 2007.
  

• Collective motion, sensor networks, and ocean sampling,
  N. E. Leonard, D. A. Paley, F. Lekien, R. Sepulchre, D. M. Fratantoni, and R. E. Davis.
  Proc. IEEE, special issue on the emerging technology of networked control systems, vol. 95, pp. 48-74, 2007.

• Synchronization and balancing on the N-torus
  L. Scardovi, A. Sarlette, R. Sepulchre
  Systems and Control Letters, vol. 56, no. 5, pp. 335-341, 2007.
  

• Group coordination and Cooperative Control of Steered Particles in the Plane,
  R. Sepulchre, D. Paley, N. Leonard
  In: Group Coordination and Cooperative control (K. Y. Pettersen and J. T. Gravdahl and H. Nijmeijer, eds)
  Lecture Notes in Control and Information Sciences 206, Springer Verlag, pp. 217-232, 2006.

• Sensorless Stabilization of Bounce Juggling,
  R. Ronsse, Ph. Lefevre, R. Sepulchre 
  IEEE Transactions on robotics, vol. 2/1, pp. 147-159, 2006.
  
  
• Oscillators as systems and synchrony as a design principle
  R. Sepulchre
In: Current Trends in Nonlinear Systems and Control: Proceedings of a workshop in honor of Petar Kokotović and Turi Nicosia (L. Menini, L. Zaccarian, and Ch. T. Abdallah, eds). Birkhauser, 2005.


• Feedback mechanisms for global oscillations in Lure systems 
  R. Sepulchre, G.-B. Stan.
  Systems and Control Letters,  Vol 54/8 pp 809-818, 2005.
  


• Cubically convergent iterations for invariant subspace computation
  P.-A. Absil, R. Sepulchre, P. Van Dooren, R. Mahony.
  SIAM J. Matrix Analysis, vol. 26, 1, pp. 70-96, 2004.


• Collective motion and oscillator synchronization
  R. Sepulchre, D. Paley, N. Leonard.
  in ``Cooperative control'', V. Kumar, N. Leonard, A. Morse (eds.)
  Lecture Notes in Control and Information Sciences, 309, Spinger-Verlag, pp. 189-205, 2004.

• Continuous dynamical systems that realize discrete optimization on the hypercube
  P.A. Absil, R. Sepulchre.
  Systems and Control Letters, Vol. 52 , p.p 297-304, 2004.
  

• Riemannian geometry of Grassmann manifolds with a view on algorithmic computation P.-A. Absil, R. Mahony, R. Sepulchre
  Acta Appl. Math., Volume 80, Issue 2, pp. 199-220,  2004.
  

• Trading the stability of finite zeros for global stabilization of nonlinear cascade systems
  R. Sepulchre, M. Arcak, A. Teel
  IEEE Transactions on Automatic Control, vol.47, no.3, pp. 521-525, 2002.
  

• A duality principle for homogeneous vector fields with applications
  L. Moreau, D. Aeyels, J. Peuteman, R. Sepulchre
  Systems Control Lett., Volume 47, Number 1,  pp. 37-46, 2002. .
  

• Improved performance of low-gain designs for bounded control of linear systems
  F. Grognard, R. Sepulchre, G. Bastin.
  Automatica, vol. 38, no.11, pp. 1777-1782, 2002.
   
• A Grassmann-Rayleigh quotient iteration for computing invariant subspaces
  P.A. Absil, R. Mahony, R. Sepulchre, P. Van Dooren
  SIAM Review, Vol. 44, No. 1, pp. 57-73, 2002.
   
• Robust stabilization of a cement mill model
  F. Grognard, F. Jadot, L. Magni, G. Bastin, R. Sepulchre, V. Wertz.
  IEEE Transactions on Automatic Control, Vol. 46 (4), pp. 618-623, April 2001.
   
• Stability of perturbed functional differential equations and stabilization of nonlinear cascades
  W. Michiels, R. Sepulchre, D. Roose
  SIAM Journal of Control and Optimization, Vol 40(3), pp 661-680, 2001.
   
• Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory
  A. Astolfi, R. Ortega, R. Sepulchre.
  Control of Complex Systems (eds. K. Aström, P. Albertos, M. Blanke, A. Isidori). Springer-Verlag, London, pp.39-75, 2000.
   
• Boundedness properties for time-varying nonlinear systems
  J. Peuteman, D. Aeyels, R. Sepulchre.
  SIAM Journal of Control and Optimization, Vol. 39 (5), pp. 1408-1422, 2000.
   
• Slow peaking and low-gain designs for global stabilization of nonlinear systems
  R. Sepulchre.
  IEEE Transactions on Automatic Control, Vol. 45, No 3, pp. 453-461, 2000.
   
• Delayed control of axial compressors
  W. Aernouts, R. Sepulchre, D. Roose.
  International Journal of Bifurcations and Chaos, Vol. 10, No 5, pp. 1157-1164, 2000.
   
• Global stabilization of feedforward systems with exponentially unstable Jacobian linearization
  F. Grognard, R. Sepulchre, G. Bastin.
  Systems and Control Letters, vol. 37, no. 2, pp. 107-115, 1999.
   
• Nonlinear analysis of cardiac rythm fluctuations using DFA method
  P.A. Absil, R. Sepulchre, A. Bilge, P. Gerard.
  Physica A 272, pp. 235-244, 1999.
   
• CLF Based designs with robustness to dynamic input uncertainties
  M. Jankovic, R. Sepulchre, P.V. Kokotovic.
  Systems and Control Letters, 37, pp. 45-54, 1999.
   
• Lyapunov functions for stable cascades and applications to stabilization
  F. Mazenc, R. Sepulchre, M. Jankovic.
  IEEE Transactions on Automatic Control, vol. 44, no 9, pp. 1795-1800, 1999.
   
• Shift policies in QR-like algorithms and feedback control of self-similar flows
  P. Van Dooren, R. Sepulchre.
  Open Problems in Mathematical Systems and Control Theory (eds. V.D. Blondel, E.D. Sontag, M. Vidyasagar, J.C. Willems) Communications and Control Engineering, Springer Verlag, London, pp. 245-250, 1998.
   
• Asymptotic stability conditions for time-variant systems and its relation to observability
  D. Aeyels, R. Sepulchre, J. Peuteman.
  Mathematics of Control, Signals, and Systems, no. 11, pp. 1-27, 1998.
   
• Shape signifiers for throttle control of a low-order compressor model
  R. Sepulchre and P.V. Kokotovic.
  IEEE Transactions on Automatic Control, vol. 43, no 11, pp. 1643-1648, 1998.
   
• Stability margins of nonlinear receding horizon control via inverse optimality
  L. Magni, R. Sepulchre.
  Systems and Control Letters, vol. 32, No 4, pp. 241-245, 1997.
   
• Global adaptive stabilization of cascade nonlinear systems
  M. Jankovic, R. Sepulchre, and P.V. Kokotovic.
  Automatica, vol. 33, no 2, pp. 263-368, 1997.
   
• Integrator forwarding: a new recursive nonlinear robust design
  R. Sepulchre, M. Jankovic, and P.V. Kokotovic.
  Automatica, vol. 33, no 5, pp. 979-984, 1997.
   
• Recursive designs and feedback passivation
  R. Sepulchre, M. Jankovic, P.V. Kokotovic.
  in Systems and Control in the Twenty-First Century, C. Byrnes, B. Datta, D. Gilliam, C. Martin (eds.), Birkhauser, pp. 313-326, 1996.
   
• Constructive Lyapunov stabilization of nonlinear cascade systems
  M. Jankovic, R. Sepulchre, and P.V. Kokotovic.
  IEEE Transactions on Automatic Control, vol. 41, no 12, pp. 1723-1735, 1996.
   
• Homogeneous Liapunov functions and necessary conditions for stabilization
  R. Sepulchre and D. Aeyels.
  Journal of Mathematics for Control, Signal and Systems, vol. 9, no 1, pp. 34-58, 1996.
   
• Stabilizability does not imply homogeneous stabilizability for controllable systems
  R. Sepulchre and D. Aeyels.
  SIAM Journal of Control and Optimization , vol. 34, no 5, pp. 1798-1813, 1996.
   
• On the convergence of time-variant linear differential equations arising in identification
  D. Aeyels and R. Sepulchre.
  Kybernetica, vol. 30, no 6, pp. 715-723, 1994.
   
• Stability for dynamical systems with first integrals: a topological criterion
  D. Aeyels and R. Sepulchre.
  Syst. & Contr. Letters, vol. 19, pp. 461-465, 1992.

Selected Conference papers   

• Cooperative Attitude Synchronization in Satellite Swarms: A Consensus Approach
  A. Sarlette, R. Sepulchre, and N.E. Leonard
  Proceedings of the 17th IFAC Symposium on Automatic Control in Aerospace, Toulouse (France), June 2007

  Geometric optimization methods for independent component analysis applied on gene expression data.
  M. Journee, A. E. Teschendorff, P.-A. Absil and R. Sepulchre
  Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2007), April 2007, pp.1413-1416.

  Collective optimization over average quantities
  L. Scardovi, R. Sepulchre (2006)
  Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, California, pp. 3369-3374, 2006.

• Feedback Control of Impact Dynamics: the Bouncing Ball Revisited,
  R. Ronsse, R. Sepulchre (2006)
  Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, California, 2006.

• Collective Motion of Self-Propelled Particles: Stabilizing Symmetric Formations on Closed Curves
  D. Paley, N. Leonard, R. Sepulchre (2006)
  Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, California, pp. 5067-5072, 2006.

• Discrete-time synchronization on the N-torus,
A. Sarlette, R. Sepulchre, N. Leonard
Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (Kyoto, Japan), pp. 2408-2415, 2006.

• Oscillator Models and Collective Motion: Splay State Stabilization of Self-Propelled Particles
D. Paley, N. Leonard, R. Sepulchre
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, 2005.

• Timing feedback control of a rhythmic system
R. Ronsse, Ph. Lefèvre, R. Sepulchre
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, 2005.

• Graph Laplacian and Lyapunov design of collective planar motions
  R. Sepulchre, D. Paley, N. Leonard.
  Proceedings of 2005 International Symposium on Nonlinear Theory and its Applications, Bruges, Belgium, October 2005.

• Axial stick-slip limit cycling in drill-string dynamics with delay 
C. Germay, R. Sepulchre, N. van de Wouw, H. Nijmijer
Proceedings of the 5th Euromech nonlinear dynamics conference, Eindhoven, August 2005. 

• Is bounce juggling easier in a parabolic billiard than in a wedge?
D. Chang, R. Ronsse, and  R. Sepulchre
Proceedings of the 5th Euromech nonlinear dynamics Conference, Eindhoven, August 2005. 


• Collective motion: bistability and trajectory tracking 
D. Paley, N. Leonard, R. Sepulchre
Proceedings of the 43rd IEEE Conference on Decision and Control, The Bahamas, December 2004.

• Open-loop stabilization of 2D impact juggling 
R. Ronsse, Ph. Lefèvre,  R. Sepulchre.
Proceedings of the 6th IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, pp.1157-1162, September 2004.

• Stabilization through weak and occasional interactions: a billiard benchmark 
M. Gérard, R. Sepulchre..
Proceedings of the 6th IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, pp. 73-78, September 2004.

• Dissipativity and global analysis of limit cycles in networks of oscillators 
G-B. Stan,  R. Sepulchre.
Proceedings of the 16th Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, July 2004 (no 292, 6 pages).

• Stabilization of  periodic orbits in a wedge billiard
  R. Sepulchre, M. Gerard.
  Proceedings of the 42nd IEEE Conference on Decision and Control, Hawai, December 2003
  


• Dissipativity characterization of a class of oscillators and networks of oscillators 
G-B. Stan,  R. Sepulchre.
Proceedings of the 42nd IEEE Conference on Decision and Control, Hawai, December 2003


• Global stability of a continuous-time flow which computes time-optimal switching  
F. Grognard, R. Sepulchre.
Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, pp. 3826-3831, 2001.


• Dynamic control of Axial Compressors
  M. Larsen, B. Coller, R. Sepulchre, P. Kokotovic.
  Proceedings of the 1997 IEEE International Conference on Control Applications, Hartford, CT, USA, 5-7 Oct. 1997. New York, NY, USA: IEEE, pp. 663-70, 1997.
   
• Interlaced systems and recursive designs for global stabilization
  R. Sepulchre and P.V. Kokotovic.
  Proceedings of the 4th European Control Conference, 1997, Brussels, WE-E-A (6 pages).
   
• From the Nyquist criterion to the circle criterion
  R. Sepulchre, D. Aeyels, and J.L. Willems.
  Proceedings of the 13th IFAC World Congress, San Francisco, California, pp. 1-6, 1996.

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