Existence and Lipschitz regularity of solutions to Bolza problems in optimal control
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- by P. Cannarsa, H. Frankowska and E. M. Marchini PDF
- Trans. Amer. Math. Soc. 361 (2009), 4491-4517 Request permission
Abstract:
In this paper we investigate the existence and Lipschitz continuity of optimal trajectories for the autonomous Bolza problem in control theory. The main feature of our results is that they relax the usual fast growth condition for the Lagrangian. Furthermore, we show that optimal solutions do satisfy the maximum principle.References
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Additional Information
- P. Cannarsa
- Affiliation: Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Roma, Italy
- Email: cannarsa@axp.mat.uniroma2.it
- H. Frankowska
- Affiliation: Combinatoire et Optimisation, Université Pierre et Marie Curie (Paris 6) case 189, 4 place Jussieu, 75252 Paris cedex 05, France
- Email: frankowska@math.jussieu.fr
- E. M. Marchini
- Affiliation: Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo Da Vinci 32, 20133 Milano, Italy
- Email: elsa.marchini@polimi.it
- Received by editor(s): January 27, 2006
- Published electronically: April 16, 2009
- Additional Notes: This work was supported in part by European Community’s Human Potential Programme under contract HPRN-CT-2002-00281, Evolution Equations. This research was completed in part while the first and third authors visited the CREA, École Polytechnique, Paris and also while the second author visited the Dipartimento di Matematica, Università di Roma “Tor Vergata”
The third author acknowledges the financial support provided through the European Community’s Human Potential Programme under contract HPRN-CT-2002-00281, Evolution Equations. - © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 4491-4517
- MSC (2000): Primary 49J15, 49J30, 49K15, 49K30
- DOI: https://doi.org/10.1090/S0002-9947-09-04765-5
- MathSciNet review: 2506416