Institut Camille Jordan - UMR 5208
Université Claude Bernard Lyon 1
43 boulevard du 11 novembre 1918
F - 69622 Villeurbanne cédex
tel : (33) 04 72 44 81 13
mail : clarke@math.univ-lyon1.fr

Francis Clarke

Mathématicien,
Membre de l'Institut universitaire de France et
professeur titulaire à l'Université Claude Bernard Lyon 1

Research interests :
Nonsmooth and functional analysis
Control theory
Calculus of variations
Differential equations
Optimization
Mathematical modeling

The following documents and publications can be downloaded (the articles are the electronic version; see the journal for the definitive version):
Short biography
( pdf)
Publication list
( pdf)
Errata to Nonsmooth Analysis and Control Theory, by F. Clarke, Yu. Ledyaev, R. Stern and P. Wolenski, Graduate Texts in Mathematics Vol. 178, Springer-Verlag, New York, 1998 (available soon)
(dvi, pdf)
PDF version of my talk on EULER
( pdf)
Regularity of solutions to one-dimensional and multi-dimensional problems in the calculus of variations, Proceedings of the Rome conference, June 2006, to appear.
( pdf)
Nonsmooth Analysis in Systems and Control Theory, to appear.
( pdf)
A Lipschitz regularity Theorem, Ergod. Th. & Dynam. Sys.27(2007)1-6.
( pdf)
A maximum principle for hybrid optimal control problems, CDC2006.
( pdf)
Necessary conditions in optimal control and in the calculus of variations, Proceedings of the Aveiro conference, to appear.
( pdf)
Necessary Conditions in Dynamic Optimization, Memoirs of the Amer. Math. Soc., No. 816, vol. 173 (2005) (113 pages).
(dvi, pdf)
Continuity of solutions to a basic problem in the calculus of variations, Annali Scuola Normale Superiore Pisa (Serie V) 4 (2005) 511-530.
(dvi, pdf)
Local Lipschitz continuity of solutions to a problem in the calculus of variations, with Pierre Bousquet,J. Diff. Equations 243 (2007) 489-503.
(ps, pdf)
Lyapunov functions and feedback in nonlinear control, in "Optimal Control, Stabilization, and Nonsmooth Analysis", M.S. de Queiroz, M. Malisoff and P. Wolenski (Eds.), Lecture Notes in Control and Information Sciences 301, pp. 267-282, Springer-Verlag 2004.
(pdf)
The Maximum Principle in Optimal Control, then and now, J. Control and Cybernetics 34 (2005) 709-722.
(dvi, pdf)
Lyapunov and feedback characterizations of state constrained controllability and stabilization, with R. Stern, Systems & Control Letters 54 (2005) 747-752.
(dvi, pdf)
Nonsmooth analysis in control theory: a survey, European J. Control 7 (2001) 63-78.
( pdf)
Feedback stabilization and Lyapunov functions, with Yu. Ledyaev, L. Rifford and R. Stern, SIAM J. Control Optim. 39 (2000) 25-48.
( dvi)