Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10898-010-9633-6
Title: Subdifferential properties of the minimal time function of linear control systems
Authors: Jiang, Y.
He, Y.R.
Sun, J. 
Keywords: Linear control system
Minimal time function
Normal cones
Subdifferentials
Issue Date: 2011
Source: 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
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.
Source Title: Journal of Global Optimization
URI: http://scholarbank.nus.edu.sg/handle/10635/44051
ISSN: 09255001
DOI: 10.1007/s10898-010-9633-6
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