Differential inclusions with free time
type: Item
instance of: scholarly article
title: Differential inclusions with free time
zbMATH Open document ID: 0672.49019
DOI: 10.1016/S0294-1449(16)30336-5
author: F. H. Clarke
author: P. D. Loewen
author: Richard B. Vinter
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78165
review text: The minimization problem of a Mayer type performance index with free end times over the set of all trajectories of the general differential inclusion with state- and endpoints-constraints is studied. The objective function is lipschitzian, the state-constraints are defined by some continuous function while the right-hand-side of differential inclusion is continuous in state, measurable in time variable and has non-empty, compact and convex values. Using the so-called proximal analysis methods the Hamilton necessary optimality conditions are obtained.
reviewed by: Z.Wyderka
Mathematics Subject Classification ID: 49K99
Mathematics Subject Classification ID: 49L99
zbMATH DE Number: 4100033
zbMATH Keywords: Mayer type
zbMATH Keywords: differential inclusion
zbMATH Keywords: state- and endpoints-constraints
zbMATH Keywords: Hamilton necessary optimality conditions
MaRDI profile type: Publication
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OpenAlex ID: W43347418
description: scientific article; zbMATH DE number 4100033