Optimality of Broken Extremals View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

Andrei A. Agrachev, Carolina Biolo

ABSTRACT

In this paper, we analyse the optimality of broken Pontryagin extremal for an n-dimensional affine control system with a control parameter, taking values in a k-dimensional closed ball. We prove the optimality of broken normal extremals in many cases that include (but not are exhausted by) the cases of the involutive driftless part of the system for any n > k and of the contact driftless part for n = 3 and k = 2. More... »

PAGES

289-307

References to SciGraph publications

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  • 1982. Time-optimal control in the plane in FEEDBACK CONTROL OF LINEAR AND NONLINEAR SYSTEMS
  • 2005-04. Regularity properties of optimal trajectories of single-input control systems in dimension three in JOURNAL OF MATHEMATICAL SCIENCES
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  • 2005-01. Local Regularity of Optimal Trajectories for Control Problems with General Boundary Conditions in JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
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  • 1987-03. On the regularity of optimal controls in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10883-018-9416-9

    DOI

    http://dx.doi.org/10.1007/s10883-018-9416-9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1106385877


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