Viability of boundary of the viability kernel
type: Item
instance of: scholarly article
title: Viability of boundary of the viability kernel
zbMATH Open document ID: 0732.34014
author: Patrick Saint-Pierre
published in: Differential and Integral Equations
publication date: 1991-01-01T00:00:00Z
review text: Viability kernel for the following system \(x'(t)\in F(x(t))\), x(t)\(\in K\) is the largest viable subset of the set K. In the paper, some known properties of viability kernels are stated. Moreover, it is proved that for \(x_ 0\in int(K)\) in the boundary of the viability kernel there exists a solution starting from \(x_ 0\) that stays in the boundary of the viability kernel for some positive time, i.e., the boundary of the viability kernel is locally viable. If the viability kernel is a subset of int(K) then its boundary is (globally) viable.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34D99
zbMATH DE Number: 4210565
zbMATH Keywords: differential inclusion
zbMATH Keywords: viability theory
zbMATH Keywords: Viability kernel
zbMATH Keywords: boundary
reviewed by: Vlastimil Křivan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4210565