TITLE

Subdifferential properties of the minimal time function of linear control systems

AUTHOR(S)
Yi Jiang; Yi Ran He; Jie Sun
PUB. DATE
November 2011
SOURCE
Journal of Global Optimization;Nov2011, Vol. 51 Issue 3, p395
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
65636187

 

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