Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon

In the present paper we derive a Pontryagin maximum principle for general nonlinear optimal sampled-data control problems in the presence of running inequality state constraints. We obtain, in particular, a nonpositive averaged Hamiltonian gradient condition associated with an adjoint vector being a...

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Bibliographic Details
Published in:	Mathematical programming Vol. 191; no. 2; pp. 907 - 951
Main Authors:	Bourdin, Loïc, Dhar, Gaurav
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022 Springer Springer Nature B.V
Subjects:	Bouncing Calculus of Variations and Optimal Control; Optimization Combinatorics Equality Full Length Paper Inequality Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Maximum principle Nonlinear control Numerical Analysis Numerical methods Sampling Theoretical Trajectory optimization Sampled-data control 93C57 Indirect numerical method 93C10 Optimal control State constraints Pontryagin maximum principle Ekeland variational principle 49M05 34H05 Shooting method
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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