Existence and Lipschitz regularity of solutions to Bolza problems in optimal control-Reference-Cited by-同舟云学术

Existence and Lipschitz regularity of solutions to Bolza problems in optimal control

Published:2009-04-16 Issue:9 Volume:361 Page:4491-4517
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Cannarsa P.,Frankowska H.,Marchini E.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2009-361-09/S0002-9947-09-04765-5/S0002-9947-09-04765-5.pdf

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