Please use this identifier to cite or link to this item:
https://doi.org/10.1007/s10898-010-9633-6
DC Field | Value | |
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dc.title | Subdifferential properties of the minimal time function of linear control systems | |
dc.contributor.author | Jiang, Y. | |
dc.contributor.author | He, Y.R. | |
dc.contributor.author | Sun, J. | |
dc.date.accessioned | 2013-10-09T03:25:36Z | |
dc.date.available | 2013-10-09T03:25:36Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Jiang, Y., He, Y.R., Sun, J. (2011). Subdifferential properties of the minimal time function of linear control systems. Journal of Global Optimization 51 (3) : 395-412. ScholarBank@NUS Repository. https://doi.org/10.1007/s10898-010-9633-6 | |
dc.identifier.issn | 09255001 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/44051 | |
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. © 2010 Springer Science+Business Media, LLC. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s10898-010-9633-6 | |
dc.source | Scopus | |
dc.subject | Linear control system | |
dc.subject | Minimal time function | |
dc.subject | Normal cones | |
dc.subject | Subdifferentials | |
dc.type | Article | |
dc.contributor.department | DECISION SCIENCES | |
dc.description.doi | 10.1007/s10898-010-9633-6 | |
dc.description.sourcetitle | Journal of Global Optimization | |
dc.description.volume | 51 | |
dc.description.issue | 3 | |
dc.description.page | 395-412 | |
dc.description.coden | JGOPE | |
dc.identifier.isiut | 000295174900002 | |
Appears in Collections: | Staff Publications |
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