@article{Shvartsman:2006:10.1016/j.na.2005.07.041,
author = {Shvartsman, IA and Vinter, RB},
doi = {10.1016/j.na.2005.07.041},
journal = {NONLINEAR ANAL-THEOR},
pages = {448--474},
title = {Regularity properties of optimal controls for problems with time-varying state and control constraints},
url = {http://dx.doi.org/10.1016/j.na.2005.07.041},
volume = {65},
year = {2006}
}

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TY  - JOUR
AB  - In this paper we report new results. on the regularity of optimal controls for dynamic optimization problems with functional inequality state constraints, a convex time-dependent control constraint and a coercive cost function. Recently, it has been shown that the linear independence condition on active state constraints, present in the earlier literature, can be replaced by a less restrictive, positive linear independence condition, that requires linear independence merely with respect to non-negative weighting parameters, provided the control constraint set is independent of the time variable. We show that, if the control constraint set, regarded as a time-dependent multifunction, is merely Lipschitz continuous with respect to the time variable, then optimal controls can fail to be Lipschitz continuous. In these circumstances, however, a weaker Holder continuity-like regularity property can be established. On the other hand, Lipschitz continuity of optimal controls is guaranteed for time-varying control sets under a positive linear independence hypothesis, when the control constraint sets are described, at each time, by a finite collection of functional inequalities.. (c) 2005 Published by Elsevier Ltd.
AU  - Shvartsman,IA
AU  - Vinter,RB
DO  - 10.1016/j.na.2005.07.041
EP  - 474
PY  - 2006///
SN  - 0362-546X
SP  - 448
TI  - Regularity properties of optimal controls for problems with time-varying state and control constraints
T2  - NONLINEAR ANAL-THEOR
UR  - http://dx.doi.org/10.1016/j.na.2005.07.041
UR  - http://hdl.handle.net/10044/1/4691
VL  - 65
ER  - 

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