Proximal-point algorithm, Douglas-Rachford algorithm and alternating projections: a case study
(with H.H. Bauschke, M.N. Dao, and H.M. Phan). PDF
arXiv:1501.06603v1 [math.OC]
Robust eigenstructure clustering by nonsmooth optimization
(with P. Apkarian and M.N. Dao)
International Journal of Control, to appear.
2014
Parametric robust structured control design
(with P. Apkarian and M.N. Dao)
IEEE Transactions on Automatic Control, to appear.
Active fault tolerant control using parametric robust structured controllers
(with L. Ravanbod and P. Apkarian).
Linear and strong convergence of algorithms involving averaged nonexpansive operators
(with H.H. Bauschke and Hung M. Phan).
PDF arXiv:1402.5460v1 [math.OC] 22 Feb 2014
Journal of Mathematical Analysis and Applications, to appear.
Gain-scheduled two-loop autopilot for an aircraft
(with L. Ravanbod) PDF
Journal of Dynamic Systems, Measurement and Control, vol. 136, no. 4, 2014.
On the local convergence of the Douglas-Rachford algorithm
(with H.H. Bauschke) PDF
arXiv:1401.6188v1 [math.OC] 23 Jan 2014
Archiv der Mathematik, vol. 102, issue 6, 2014, pp. 589-600.
Nonconvex bundle method with application to a delamination problem
(with M.N. Dao, J. Gwinner, N. Ovcharova)
PDF
arXiv:1401.6807v1 [math.OC] 27 Jan 2014
On local convergence of the method of alternating projections
(with A. Rondepierre) PDFpdf
Foundations of Computational Mathematics, to appear.
arXiv:1312.5681v1 [math.OC] 19 Dec 2013 DOI: 10.1007/s10208-015-9253-0
2013
Simultaneous plant and controller optimization based on non-smooth techniques
(with M.N. Dao). PDF
Lecture Notes in Engineering and Computer Science. Proc. Word Congress Eng. Comp. Sci. (WCECS 2013),
vol. II, pp. 855 - 861.
On cluster points of alternating projections
(with H.H. Bauschke). PDF
Serdica Mathematical Journal 39 (2013), 355 - 364.
Optimization-based control design techniques and tools
(with P. Apkarian) PDF. To appear in:
Encyclopedia of Systems and Control.
Baillieul, John; Samad, Tariq (Eds.)
Minimizing memory effects of a system
(with Ngoc Minh Dao)
PDF
Mathematics of Control, Signals and Systems, 27(1):2015,77-110.
Convergence of non-smooth descent methods using the Kurdyka-Łojasiewicz inequality pdf short version
PDF long version
Journal of Optimization Theory and Applications, vol. 160, no. 2, 2014, pp. 553 - 572.
Optimal control of crystallization of alpha-lactose monohydrate
(with A. Rachah) pdf
Proceedings of the 9th Asian Control Conference, Istanbul, Turkey 2013.
Design of a flight control architecture using a non-convex bundle method
(with D. Alazard and M. Gabarrou).
PDF
Mathematics of Control, Signals and Systems, vol. 25, no. 2, 2013, 257 - 290.
2012
Gain-scheduled two-loop autopilot for an aircraft
(with L. Ravanbod)
7th IFAC Symposium on Robust Control Design, 2012 Aalborg.
PDF
Convergence of linesearch and trust-region
methods using the Kurdyka - Łojasiewicz inequality
(with A. Rondepierre). PDF
Computational and Analytical Mathematics. Springer Proceedings in Mathematics.
An extension of the linear quadratic Gaussian loop
transfer recovery procedure (with L. Ravanbod
and P. Apkarian) IET Control Theory and Applications, 6(14),2012:2269-2278.
PDF
Bundle method for non-convex minimization with inexact subgradients and function values
Computational and Analytical Mathematics, vol. 50, 2013,
pp. 555 - 592 PDF
2011
Parametric robust H_{2} control
(with L. Hosseini-Ravanbod and P. Apkarian).
PDF
23rd Chinese Control and Decision Conference, may 23-25, 2011,
Mianyang, China.
Conference Proceedings, pp. 2056-2061.
Gain-scheduled PID for imbalance compensation of a magnetic bearing
(with L. Hosseini-Ravanbod). ICINCO 2011.
PDF
On a generalization of the LTR procedure
(with L. Hosseini-Ravanbod and P. Apkarian).
PDF
23rd Chinese Control and Decision Conference, may 23-25, 2011,
Mianyang,
China. Conference Proceedings, pp. 2634-2639.
Robustness via structured H_{∞}/H_{∞}- synthesis (with L. Hosseini-Ravanbod and P. Apkarian).
PDF International Journal of Control,
vol. 84, issue 5, 2011, pp. 851 - 866.
Lateral flight control design for a highly flexible aircraft using nonsmooth optimization
(with D. Alazard, P. Apkarian, and A. Simoes).
PDF
Aerospace Science and Technology, vol. 15, no. 4, 2011, pp. 314 - 322.
Time-domain constrained H_{∞}-synthesis (with L. Hosseini-Ravanbod and P. Apkarian). PDF
International Journal of Robust and Nonlinear Control, vol. 21, no. 2,
2011, pp. 197-217.
2009 - 2010
Cutting plane oracles to minimize non-smooth non-convex functions.
Journal of Set-Valued and Variational Analysis, vol. 18, no. 3-4, 2010, pp. 531-568.
PDF
Structured flight control law design using non-smooth
optimization
(with M. Gabarrou and D. Alazard). PDF.
18th IFAC ACA 2010.
Nonsmooth
multi-objective synthesis with applications
(with A. Simoes and P. Apkarian).
PDF
Control Engineering Practice, vol. 17, no. 11, 2009, pp. 1338 - 1348.
A proximity control algorithm to minimize nonsmooth
and nonconvex semi-infinite maximum eigenvalue functions (with P. Apkarian and O. Prot).
pdfPDF
Journal of Convex Analysis, vol. 16, no. 3&4, 2009, pp. 641 - 666.
Time domain control design: a nonsmooth approach
(with P. Apkarian and A. Simoes).
PDF
IEEE Transactions on Control Systems Technology, vol. 17, no. 6, 2009, pp. 1439 - 1445.
Stability optimization of hybrid periodic
systems via a smooth criterion (with M. Diehl and K. Mombaur).
PDF
IEEE Transactions on Automatic Control, vol. 54, no. 8, 2009, pp. 1881 - 1886.
2008
A nonsmooth progress function algorithm for
frequency shaping control design
(with A. Simoes and P. Apkarian).
IFAC 2008
Conference version
IET Control Theory and Applications, vol. 2, no. 4, 2008, pp. 323 - 336.
Paper version
A proximity control algorithm to minimize nonsmooth
and nonconvex functions.
(with O. Prot and A. Rondepierre).
PDF
Pacific Journal of Optimization, vol. 4, no. 3, 2008,
pp. 569 - 602.
Control design in the time and frequency domain using nonsmooth techniques. (with V. Bompart and P. Apkarian).
PDF
Systems and Control Letters, vol. 57, no. 3, 2008, pp. 271 -- 282.
Failure-finding frequency for a repairable systems
subject to hidden failures.
(with B. Lienhardt, E. Hugues and C. Bes)
PDF
American Institute of Aeronautics and Astronautics. Journal
of Aircraft, vol. 45, no. 5, 2008, pp. 1804 - 1809.
Mixed H_{2}/H_{∞} - control via nonsmooth
optimization (with P. Apkarian and A. Rondepierre).
PDF
SIAM Journal on Control and Optimization,
vol. 47, no. 3, 2008,
pp. 1516-1546.
A trust region spectral bundle method for nonconvex eigenvalue
optimization. (with O. Prot and P. Apkarian).
PDF
SIAM Journal on Optimization, vol. 10, no. 1, 2008, pp. 281 - 306.
2007
Nonsmooth structured control design with
applications to PID loopshaping of a process (with P. Apkarian and V. Bompart)
PDFpdf International Journal of Robust and Nonlinear Control, vol. 17,
issue 14, 2007, pp. 1320 - 1342.
Nonsmooth optimization for multiband frequency
domain control design (with P. Apkarian)
PDFshortPDFlong Automatica, vol. 43, no. 4, 2007, pp. 724 - 731.
Nonsmooth methods for control design with integral
quadratic constraints. (with O. Prot and P. Apkarian).
PDF
Proceedings 46th IEEE CDC, New Orleans, 2007.
Nonsmooth techniques to stabilize linear systems (with V. Bompart and P. Apkarian).
PDF
Proceedings of the American Control Conference 2007, New York.
Local convergence of an augmented Lagrangian method
for matrix inequality
constrained programming.PDFpdf Optimization Methods and Software, vol 22, issue 5, 2007, pp. 777 - 802.
Second order nonsmooth optimization for H_{∞} -
synthesis. (with V. Bompart and P. Apkarian).
PDF
Numerische Mathematik, vol. 107, no. 3, 2007, pp. 433 - 454.
2006
IQC analysis and synthesis via nonsmooth optimization (with P. Apkarian).
PDF Systems and Control Letters, vol. 55, issue 12, 2006, pp. 971 - 981.
Iterative three-dimensional expectation maximization
restoration of single photon
emission computed tomography images:
application in striatal imaging (with P. Gantet, P. Payoux, A. Celler, C. Majorel, D. Gourion,
J.-P. Esquerré).
PDF Medical Physics, vol. 33, no. 1, 2006, pp. 52 - 60.
Nonsmooth optimization for multidisk H_{∞} - synthesis
(with P. Apkarian).
PDF European Journal of Control, vol. 12, no. 3, 2006, pp. 229 - 244.
Nonsmooth H_{∞} - synthesis (with P. Apkarian).
PDF IEEE Transactions on Automatic Control,vol. 51, no. 1, 2006, pp. 71 - 86.
Controller design with nonsmooth multidirectional search (with P. Apkarian).
PDF SIAM Journal on Control and Optimization,vol. 44, no. 6, 2006, pp. 1923 - 1949.
Joint minimization with alternating Bregman proximity operators (with H.H. Bauschke, P. Combettes).
PDF Pacific Journal of Optimization, vol. 2, 2006, pp. 401 - 424.
2005
Reduced order output feedback control design with
specSDP, a code
for linear and nonlinear SDP programs with J.-B. Thevenet and P. Apkarian
PDF ICCA05 Proceedings, Budapest, June 2005.
Computational experience with an interior point algorithm
for large scale contact problems PDF (with G. Tanoh and Y. Renard).
Spectral bundle methods for nonconvex maximum eigenvalue functions.
Part 2: Second order methods. (with P. Apkarian).
PDF Math. Programming Series B, vol. 104, no. 2, 2005, pp. 729 - 747.
Spectral bundle methods for nonconvex maximum
eigenvalue functions.
Part 1: first-order methods (with P. Apkarian).
PDF Math. Programming Series B, vol. 104, no. 2, 2005, pp. 701 - 727.
Nonlinear spectral SDP method for BMI-constrained
problems: applications to control design with J.-B. Thevenet and P. Apkarian
ICINCO Proceedings, Portugal, 2004
Control, Automation and Robotics, Kluwer 2005.
PDF
2004
A spectral quadratic SDP method with applications
to fixed-order H_{2} - and H_{∞} - synthesis (with J.-B. Thevenet, P. Apkarian, H.D. Tuan).
pdf European Journal of Control, vol. 10, no. 6, 2004, pp. 527 - 538.
Fully 4D dynamic image reconstruction by nonlinear constrained
programming (with S. Blinder, P. Payoux, X. Hatchondo, P. Gantet, J.-P. Esquerré)
PDF
Partially augmented Lagrangian method for matrix inequality constraints
(with M. Torki, P. Apkarian)
PDF SIAM Journal on Optimization, vol. 15, no. 1, 2004, pp. 161 - 184.
Augmented Lagrangian methods with smooth penalty
functions with J.-B. Thevenet
PDF
Nonsmooth methods for large bilinear
matrix inequalities: applications to feedback control with J.-B. Thevenet and P. Apkarian
PDF
2002 - 2003
Fixed-order H_{∞} - control design via a partially
augmented Lagrangian method
(with P. Apkarian, H.D. Tuan)
PDF International Journal of Robust and Nonlinear Control,
vol. 13, no. 12, 2003,pp. 1137 - 1148.
The inverse problem of emission tomography (with D. Gourion)
PDF Inverse Problems, vol. 18, 2002, pp. 1435 - 1460.
Attenuation correction using SPECT emission data only (with Gourion D, Gantet P, Esquerré JP,Celler A).
PDF IEEE Transactions on Nuclear Sciences, vol. 49, 2002, pp. 2172 - 2179.
The method of forward projections (with H.H. Bauschke)
PDF Journal of Nonlinear and Convex Ananlysis, vol. 3, 2002, pp. 191 - 205.
Robust control via successive semidefinite
programming (with B. Fares, P. Apkarian).
PDF SIAM Journal on Control and Optimization,
vol. 40, no. 6, 2002, pp. 1791 - 1820.
2000 - 2001
Comparison of Different Figure of Merit
Functions for Dynamic Single Photon Emission
Computed Tomography (dSPECT) (with Blondel C, Maeght J, Celler A, Farncombe T).
PDF
IEEE TNS-MIC Conference Record, Lyon 2000.
The incorporation of organ uptake into dynamic SPECT (dSPECT)
image reconstructions (with Farncombe T, Celler A, Bever C, Maeght J, Harrop R).
PDF
IEEE TNS-MIC Conference Record, Lyon 2000.
Performance of the dynamic single photon emission
computed tomography (dSPECT) method
for decreasing or increasing activity changes
(with Celler A, Farncombe T, Bever C, Maeght J, Harrop R).
PDF Physics in Medicine and Biology 45, 2000, 3525 - 3543.
A prototype primal-dual LMI interior point
method for robust control
PDF (with P. Apkarian).
Dynamic emission tomography - regularization and inversion
(with J. Maeght and S. Boyd).
PDF Bulletin of the Canadian Math. Society -
Conference Proceedings 27, 2000, 211 -- 234.
Special issue dedicated to J.M. Borwein.
An augmented Lagrangian method for a class of LMI constrained
problems in robust control theory. (with P. Apkarian and B. Fares).
PDF International Journal of Control 74, no. 4, 2001, 348 - 360.
Resolution in dynamic emission tomography (with J. Maeght).
PDF SIAM Journal of Mathematical Analysis 31, no. 5, 2000, 1100 -- 1120.
Adaptive image reconstruction using information measures (with U. Hermann).
PDF SIAM Journal on Control and Optimization 38, no. 4, 2000, 1223 - 1240.
1998 - 1999
Dynamic SPECT imaging using single camera rotations (dSPECT) (with J. Maeght, A. Celler, T. Farncombe).
PDF IEEE Transactions on Nuclear Science 46, 1999,pp. 1055 - 1061.
Methods for dynamic emission tomography
(with J. Maeght and A. Celler).
PDF
An EM-algorithm for dynamic SPEC tomography (with H. Bauschke, A. Celler and J.M. Borwein).
PDF
IEEE Transactions on Medical Imaging 18, no. 3, 1999,
252 - 261.
Reconstruction with noisy data: An approach via
eigenvalue optimization.PDF SIAM Journal
on Optimization 8, no. 1, 1998, 82 - 104.
1996 - 1997
Variational methods in image restoration
Proceedings of the 8th French-German Conference
on Optimization, Trier, 1996.
PDF
Consistency of a nonlinear deconvolution method with
applications in image restoration.
Advances in Mathematical Sciences and Applications 7, no. 2, 1997,
789 - 808.
PDF
Minimum Fisher spectral analysis.
(with V. Zivoinovic)
PDF
Proc. Intern. Conf. on Acoustics, Speech and Signal Processing,
München 1997.
Restoration of degraded images with maximum entropy.PDF
Journal of Global Optimization 10, 1997, 91 - 103.
Maximum entropy reconstruction using derivative
information 1: Fisher's information. Mathematics of Operations Research 21, 1996, 442 - 468.
PDF
1994 - 1995
Maximum entropy reconstruction using derivative
information 2: Computational results. Numerische Mathematik 69, 1995, 243 - 256.
PDF
Directional differentiability of the metric projection
in Hilbert space. Pacific Journal of Mathematics, vol. 170, no. 2, 1995, pp. 567 - 592.
PDFpdf
Second order differentiability of convex functions
in Banach spaces (with J.M. Borwein).
Transactions of the Amer. Math. Soc, vol. 342, no. 1, 1994, pp. 43 - 81.
PDF
Fast heuristic method for function reconstruction using
derivative information.
(with J.M. Borwein and M.N. Limber)
PDF
Applicable Analysis, vol. 58, 1995, pp. 241 - 261.
Generalized second order derivatives and the Dupin indicatrix.
PDF
Nonlinear Analysis, Theory, Methods, and Applications, vol. 24, 1995, pp. 563 - 573.
Rates of convergence for best entropy estimates. PDF
Statistics and Decisions, vol. 13, 1995, pp. 141 - 165.
Graphical methods in first and second order differentiability
theory of integral functionals. PDF
Journal of Set-Valued Analysis, vol. 2, 1994, pp. 241 - 258.
1991 - 1993
Second order differentiability of integral functionals on
Sobolev spaces and L_{2} - spaces. PDF
Journal für die reine und angewandte Mathematik, vol. 436, 1993, pp. 1 - 17.
Generalized second fundamental form for Lipschitzian
hypersurfaces by way of second epi derivatives. PDF
Canadian Mathematical Bulletin, vol. 35, 1992, pp. 523 - 536.
Souslin measurable homomorphisms of topological groups.
PDF
Archiv der Mathematik, vol. 59, 1992, pp. 294 - 301.
Strict singularity of inclusion operators between gamma-dual
spaces and Meyer-König-Zeller type theorems. PDF
Illinois Journal of Mathematics, vol. 35, 1991, pp. 508 - 521.
A unified approach to duality in convex programming. PDF
J. Math. Anal. Appl., vol. 161, 1991, pp. 508-521.
1990
A concrete duality approach to compactness
and strict singularity of inclusion operators.
PDFPDF2
Resultate der Mathematik, vol. 18, 1990, pp. 133 - 152.
Sequential completeness and spaces with the gliding
humps property. PDF Manuscripta Mathematica, vol. 66, 1990, pp. 237 - 252.
Toeplitz sections and the Wilansky property. PDF
Analysis, vol. 10, 1990, pp. 27 - 43.
Sequence spaces with separable γ-duals. PDF
Archiv der Mathematik, vol. 54, 1990, pp. 73 - 83.
Sandwich theorems and supportability for partially defined
convex operators. PDF
J. Math. Anal. Appl., vol. 146, 1990, pp. 53 - 71.
A topological completeness concept with applications to the
open mapping theorem and the separation of convex sets. PDF
Topology and Applications, vol. 35, 1990, pp. 53 - 69.
Generic Gâteaux-differentiability of convex functions
on small sets. PDF
J. Math. Anal. Appl., vol. 147, 1990, pp. 531 - 544.
Generic Fréchet-differentiability of convex functions
on small sets.PDF
Archiv der Mathematik, vol. 54, 1990, pp. 487 - 492.
1988 - 1989
Abstract sliding hump technique and characterization of barrelled
spaces.
(with W. Stadler)
PDF
Studia Mathematica, vol. 94 (XCIV), 1989, pp. 103 - 120.
Weakening Tauberian conditions for summability methods. (with W. Stadler)
PDF
Analysis, vol. 9, 1989, pp. 41 - 53.
Sliding hump technique and spaces with the Wilansky
property. (with W. Stadler)
PDF
Proceedings of the American Mathematical Society, vol. 105, 1989, pp. 903 - 910.
On the theory of B - and B_{r} - spaces in general topology. PDF
Czech. Math. J., vol. 39, 1989, pp. 589 - 594.
On the preservation of Baire category under preimages. PDF
Proceedings of the American Mathematical Society, vol. 107, 1989, pp. 847 - 854.
A selection principle with applications in convex analysis and
optimization. PDF
J. Math. Anal. Appl., vol. 129, 1988, pp. 420 - 432.
Continuous affine support mappings for convex
operators. PDF
Journal of Functional Analysis, vol. 76, 1988, pp. 411 - 431.
Sandwich Theorem und offene Zerlegungen in schwach K-analytischen
Banachräumen. PDFps
Archiv der Mathematik, vol. 51, 1988, pp. 71 - 80.
Zerlegungen von Wachstumsbereichen und Wirkfeldern für
die Verfahren bewichteter Mittel. PDF
(with W. Stadler).
Manuscripta Mathematica, vol. 60, 1988, pp. 197 - 209.
Topological spaces with a linear basis. PDF
Fundamenta Mathematicae, vol. 130, 1988, pp. 114 - 123.
Before 1988
Baire category and B_{r}-spaces. PDF
Proceedings of the American Mathematical Society, vol. 101, 1987, pp. 671 - 678.
Baire spaces and graph theorems. PDF
Proceedings of the American Mathematical Society, vol. 96, 1986, pp. 141 - 151.
Sums and products of B_{r}-spaces. PDF
Pacific Journal of Mathematics, vol. 123, 1986, pp. 173 - 188.
Open mapping theorems in topological spaces. PDF
Czech. Math. Journal, vol. 35, 1985, pp. 373 - 384.