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Erschienen in:
Buchtitelbild

2013 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Alexander J. Zaslavski

Erschienen in: Nonconvex Optimal Control and Variational Problems

Verlag: Springer New York

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Abstract

Let \(-\infty < T_{1} < T_{2} < \infty \), \(A \subset [T_{1},T_{2}] \times {R}^{n}\) be a closed subset of the t x-space R n+1 and let A(t) denote its sections, that is
$$\displaystyle{A(t) =\{ x \in {R}^{n} : (t,x) \in A\},\quad t \in [T_{ 1},T_{2}].}$$
For every (t,x)∈A let U(t,x) be a given subset of the u-space R m , \(x = (x_{1},\ldots x_{n})\), \(u = (u_{1},\ldots u_{m})\).

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Nächstes Kapitel Well-posedness of Optimal Control Problems Without Convexity Assumptions
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Metadaten
Titel
Introduction
verfasst von
Alexander J. Zaslavski
Copyright-Jahr
2013
Verlag
Springer New York
Buch
Nonconvex Optimal Control and Variational Problems

Print ISBN: 978-1-4614-7377-0

Electronic ISBN: 978-1-4614-7378-7

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-1-4614-7378-7_1