Show simple item record

dc.contributor.authorJiang, Y.
dc.contributor.authorHe, Y.
dc.contributor.authorSun, Jie
dc.date.accessioned2017-01-30T14:43:15Z
dc.date.available2017-01-30T14:43:15Z
dc.date.created2014-09-02T20:01:17Z
dc.date.issued2011
dc.identifier.citationJiang, Y. and He, Y. and Sun, J. 2011. Subdifferential properties of the minimal time function of linear control systems. Journal of Global Optimization. 51: pp. 395-412.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/40464
dc.identifier.doi10.1007/s10898-010-9633-6
dc.description.abstract

We present several formulae for the proximal and Fréchet subdifferentials of the minimal time function defined by a linear control system and a target set. At every point inside the target set, the proximal/Fréchet subdifferential is the intersection of the proximal/Fréchet normal cone of the target set and an upper level set of a so-called Hamiltonian function which depends only on the linear control system. At every point outside the target set, under a mild assumption, proximal/Fréchet subdifferential is the intersection of the proximal/ Fréchet normal cone of an enlargement of the target set and a level set of the Hamiltonian function.

dc.publisherSpringer
dc.titleSubdifferential properties of the minimal time function of linear control systems
dc.typeJournal Article
dcterms.source.volume51
dcterms.source.startPage395
dcterms.source.endPage412
dcterms.source.issn09255001
dcterms.source.titleJournal of Global Optimization
curtin.accessStatusFulltext not available


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record