Nonlinear optimal control: a numerical scheme based on occupation measures and interval analysis

This paper presents an approximation scheme for optimal control problems using finite-dimensional linear programs and interval analysis. This is done in two parts. Following Vinter approach (SIAM J Control Optim 31(2):518–538, 1993) and using occupation measures, the optimal control problem is writt...

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Bibliographic Details
Published in:	Computational optimization and applications Vol. 77; no. 1; pp. 307 - 334
Main Authors:	Delanoue, Nicolas, Lhommeau, Mehdi, Lagrange, Sébastien
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2020 Springer Nature B.V Springer Verlag
Subjects:	Convex and Discrete Geometry Fineness Interval arithmetic Linear programming Lower bounds Management Science Mathematical programming Mathematics Mathematics and Statistics Nonlinear control Operations Research Operations Research/Decision Theory Optimal control Optimization Optimization and Control Statistics Nonlinear optimal control Interval arithmetic Continuous programming Optimization
ISSN:	0926-6003, 1573-2894
Online Access:	Get full text
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