Optimal Control and Time Scales

Wavelets

Generalization of the interaction between the Haar approximation and polynomial operators to higher order methods

Author: François Chaplais, Analysis in Theory and Applications, Vol. 22, No 4, pp. 301-318, december 2006, DOI: 10.1007/s10496-006-0301-0 Download PDFDétails…

Redundant wavelet processing on the half-axis with applications to signal denoising with small delays: Theory and experiments

Authors: François Chaplais, Panagiotis Tsiotras, Dongwon Jung, International Journal on Adaptive Control and Signal Processing, Vol. 20, no 9, pp. 447 - 474, August 8 2006 DOI: 10.1002/acs.911 Download PDFDétails…

Redundant wavelet filter banks on the half-axis with applications to signal denoising with small delays

Authors: Chaplais, F. Tsiotras, P. Dongwon Jung, 43rd Conference on Decision and Control, Vol. 3, pp. 3102 - 3108, 14-17 Dec. 2004, Atlantis, Paradise Island, Bahamas DOI: 10.1109/CDC.2004.1428943 Download PDFDétails…

On-Line Wavelet Denoising with Application to the Control of a Reaction Wheel System

Authors: Chaplais, F., Tsiotras, P., and Jung, D., AIAA Guidance, Navigation, and Control Conference, AIAA Paper 04-5345, August 16 2004 Download PDFDétails…

Recursive frame inverse computation using wavelets on the real line

Authors: B. Bourrel, F. Chaplais, 40th IEEE Conference on Decision and Control, Vol. 4, pp. 3324 - 3325, Dec 2001, Orlando, USA DOI: 10.1109/.2001.980335 Download PDF - Longer versionDétails…

On numerical differentiation algorithms for nonlinear estimation

Authors: S. Diop, J.W. Grizzle, F. Chaplais, 39th IEEE Conference on Decision and Control, Vol. 2, pp. 1133 - 1138, Dec 2000, Sydney DOI: 10.1109/CDC.2000.912005 Download PDF - long versionDétails…

Wavelets for nonlinear systems

Author: François Chaplais, 37th IEEE Conference on Decision and Control, Vol. 2, pp. 1440 - 1445, 16-18 Dec 1998, Tampa, USA DOI: 10.1109/CDC.1998.758489 Download PDF - clean versionDétails…

Algebras and nonlinear multiresolution analysis that are consistent with the Strang and Fix conditions

Author: François Chaplais, IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, 1996, pp. 445 - 448 , 18-21 Jun 1996, DOI: 10.1109/TFSA.1996.550088 Download PDFDétails…