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- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Springer Science+Business Media B.V.
- Subject
- Mathematics; Geometry ; Analysis
- ISSN
- 1877-0533
- eISSN
- 1877-0541
- DOI
- 10.1007/s11228-010-0138-8
- Publisher site
- See Article on Publisher Site
Abstract
Necessary conditions for optimality in control problems with differential-inclusion dynamics have recently been developed in the non-convex case by Clarke, Vinter, and others. Using appropriate reparametrizations of the time variable, we extend these results to systems whose dynamics involve a differential inclusion where a vector-valued measure appears. An auxiliary result central to our proof is an extension of existing free end-time necessary conditions to Clarke’s stratified framework.
Journal
Set-Valued and Variational Analysis – Springer Journals
Published: Apr 28, 2010