Work

Optimal sampled-data control, and generalizations on time scales

Year: 2015

Type: article

Abstract: In this paper, we derive a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. Our framework is actually much more general, and we treat optimal control problems for which the state variable evolves on a given time scale (arbitrary non-empty closed subset of R), and the control variable evolves on a smaller time scale. Sampled-data systems are then a particular case. Our proof is based on the construction of appropriate needle-like variations and on the Ekeland variational principle.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.48550/arxiv.1501.07361

Authors: Bourdin, Loïc, Trélat, Emmanuel

Institutions: XLIM, Université de Limoges, Laboratoire Jacques-Louis Lions

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Air Force Office of Scientific Research, European Office of Aerospace Research and Development

Awards: G1523888516, G4184045089