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Discrete and Continuous Bang-Bang and Facial Spaces or: Look for the Extreme Points

Zvi Artstein
SIAM Review
Vol. 22, No. 2 (Apr., 1980), pp. 172-185
Stable URL: http://www.jstor.org/stable/2029960
Page Count: 14
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Discrete and Continuous Bang-Bang and Facial Spaces or: Look for the Extreme Points
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Abstract

A simple geometrical argument is used to establish seemingly different continuous and discrete bang-bang type results. Among other applications we discuss the bang-bang principle for linear continuous control systems, a generalization to discrete systems, the ranges of vector integrals, the Shapley-Folkman lemma and the Caratheodory theorem, a moment problem, and a minimum norm problem.

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