A contact covariant approach to optimal control with applications to sub-Riemannian geometry

Michał Jóźwikowski; Witold Respondek

Journal ArticleOPEN ACCESS

A contact covariant approach to optimal control with applications to sub-Riemannian geometry

Jóźwikowski M
Respondek W

Mathematics of Control, Signals, and Systems (2016) 28(3)

DOI: 10.1007/s00498-016-0176-3

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Abstract

We discuss contact geometry naturally related with optimal control problems (and Pontryagin Maximum Principle). We explore and expand the observations of Ohsawa (Autom J IFAC 55:1–5, 2015), providing simple and elegant characterizations of normal and abnormal sub-Riemannian extremals.

Author supplied keywords

Abnormal extremal
Contact geometry
Contact vector field
Pontryagin maximum principle
Sub-Riemannian geometry

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APA

Jóźwikowski, M., & Respondek, W. (2016). A contact covariant approach to optimal control with applications to sub-Riemannian geometry. Mathematics of Control, Signals, and Systems, 28(3). https://doi.org/10.1007/s00498-016-0176-3

A contact covariant approach to optimal control with applications to sub-Riemannian geometry

Abstract

Author supplied keywords

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