Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774411 | Journal of Mathematical Analysis and Applications | 2018 | 24 Pages |
Abstract
In this paper a class of infinite horizon optimal control problems with an isoperimetrical constraint, also interpreted as a budget constraint, is considered. Herein a linear both in the state and in the control dynamic is allowed. The problem setting includes a weighted Sobolev space as the state space. For this class of problems, we establish the necessary optimality conditions in form of a Pontryagin Type Maximum Principle including a transversality condition. The proved theoretical result is applied to a linear-quadratic regulator problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Valeriya Lykina, Sabine Pickenhain,