Piernicola Bettiol
Professeur
Laboratoire de Mathématiques
Unité CNRS UMR 6205
Université de Bretagne Occidentale
6, Avenue Victor Le Gorgeu
29200 BREST
FRANCE
E-mail:Piernicola.Bettiol@univ-brest.fr
Office: H113
Office Phone: + 33 (0)2 98 01 73 86
Fax: + 33 (0)2 98 01 61 75
NEW WEB PAGE:
http://pagesperso.univ-brest.fr/~pbettiol/
Education:
Positions:
- U.B.O., Brest (France), Post-Doc, 2003
- Ecole Polytechnique, CREA, Paris, Post-Doc, October 2005 - April 2006
- SISSA, Trieste, Assegnista di Ricerca (Research Associate), 2003 - 2008
- Imperial College, London, Research Associate, 2008 - 2011
Research Interests:
- Control Systems, Optimal Control, Differential Games
- Hamilton-Jacobi Equations
- Non-Linear Analysis
- Differential Inclusions
- Set-Valued Analysis
Refereed full papers:
- L. Baracco, P. Bettiol: "$L^2$-estimates and solvability of $\bar{\partial}$ system
on weakly q-convex dihedrons", Journal of
Mathematical Science of University of Tokyo, 9 (2002), 659-667.
- P. Bettiol, F. Cardin: "Lagrangian submanifold landscapes of necessary
conditions for maxima in optimal control: global parameterizations and generalized solutions",
(Russian) Sovrem. Mat. Prilozh. No. 21, Geom. Zadachi Teor. Upr.
(2004), pp. 36--55;
Journal of Mathematical Sciences 135 (2006), No. 4 pp. 3125--3144.
- P. Bettiol: "A reduction method in optimal control for the Mayer Problem",
Rendiconti del Seminario Matematico dell'Universita' e del Politecnico di Torino, 63 (2005), No. 4, pp. 315--332.
- P. Bettiol: "A deterministic approach to the Skorokhod Problem",
Control \& Cybernetics, Vol. 35 (2006), No. 4, pp. 787--802. . <>
pdf file
- P. Bettiol, R. Vinter:
"Trajectories Satisfying a Smooth State Constraint: Improved Estimates",
IEEE-TAC., (2011), Vol. 56, No. 5, pp. 1090--1096.
- P. Bettiol,
H. Frankowska: "Lipschitz Regularity of Solution Map of
Control Systems with Multiple State Constraints",
DCDS - Series A, (2012), Vol. 32, pp. 1--26.
- P. Bettiol, H. Frankowska and R. Vinter, “Improved Sensitivity Relations in State Constrained Optimal Control”, Appl. Math. Optim., 2014, DOI 10.1007/s00245-014-9260-6.
- P. Bettiol, “State constrained optimal control problems interpreted as differential games”, Discrete Contin. Dynam. Systems - A,
Refereed conference publications:
- P. Bettiol, P. Cardaliaguet et
M. Quincampoix:
"On a Nonanticipative Filippov Theorem for Control Systems with state constraints",
Proceedings of the 44th IEEE Conference on Decision and Control, pp. 257--261,
2005.
- P. Bettiol,
H. Frankowska: "Holder continuity of minimizers for the state constrained Boza problem",
ICIAM07 Proceedings.
- P. Bettiol, R. Vinter:
"Sensitivity Relations for Optimal
Control Problems with State Constraints", Proceedings of the 47th IEEE Conference on Decision
and Control, 2008.
- P. Bettiol, R. Vinter:
"Existence of feasible approximating trajectories for differential inclusions with obstacles as state constraints",
Proceedings of the 48th IEEE Conference on Decision
and Control, 2009.
- P. Bettiol,
H. Frankowska: "On the Solution Map of Control Systems
with Multiple State Constraints", Proceedings of the 49th IEEE CDC 2010.
- P. Bettiol, R. Vinter:
"Existence of feasible approximating trajectories
satisfying multiple state constraints: the case of differential inclusions varying in time and state",
Proceedings of the 49th IEEE CDC 2010.
- P. Bettiol, A. Boccia, R. Vinter:
"Stratified Necessary Conditions for Unbounded Differential Inclusions with State Constraints",
Proceedings of the 51th IEEE CDC 2012.
- P. Bettiol, H. Frankowska,
R. Vinter:
"Sensitivity interpretations of the co-state trajectory for opimal control problems with state constraints",
Proceedings of the 52th IEEE CDC 2013.
Links to other pages:
Some useful links:
Contact: Piernicola.Bettiol at univ-brest dot fr - Last modified: 01/12/2014