Email this article On Necessary Conditions for a Minimum
- Authors: Ioffe A.D.1
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Affiliations:
- Department of Mathematics, Technion—Israel Institute of Technology
- Issue: Vol 217, No 6 (2016)
- Pages: 751-772
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238143
- DOI: https://doi.org/10.1007/s10958-016-3003-y
- ID: 238143
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Abstract
We discuss a general approach to necessary optimality conditions based on the so-called “optimality alternative,” which reduces a problem with constraints to an unconstrained problem or a sequence of unconstrained problems. The power of the approach is demonstrated by a proof of a necessary optimality condition in an abstract problem with mixed (convex vs. nonconvex) structure and a new proof of Clarke’s “stratified” maximum principle for optimal control of differential inclusions.
About the authors
A. D. Ioffe
Department of Mathematics, Technion—Israel Institute of Technology
Author for correspondence.
Email: alexander.ioffe@gmail.com
Israel, Haifa
