Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 10, Issue: 2, page 271-294
- ISSN: 1292-8119
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topBagagiolo, Fabio. "Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities." ESAIM: Control, Optimisation and Calculus of Variations 10.2 (2010): 271-294. <http://eudml.org/doc/90730>.
@article{Bagagiolo2010,
abstract = {
We study a finite horizon problem for a system whose evolution is
governed by a controlled ordinary differential equation, which takes
also account of a hysteretic component: namely, the output
of a Preisach operator of hysteresis. We derive a discontinuous
infinite
dimensional Hamilton–Jacobi equation and prove that, under fairly
general hypotheses, the value function is the unique bounded and
uniformly continuous viscosity solution of the corresponding Cauchy
problem.
},
author = {Bagagiolo, Fabio},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Hysteresis; optimal control; dynamic programming; viscosity
solutions.; hysteresis; viscosity solutions},
language = {eng},
month = {3},
number = {2},
pages = {271-294},
publisher = {EDP Sciences},
title = {Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities},
url = {http://eudml.org/doc/90730},
volume = {10},
year = {2010},
}
TY - JOUR
AU - Bagagiolo, Fabio
TI - Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 10
IS - 2
SP - 271
EP - 294
AB -
We study a finite horizon problem for a system whose evolution is
governed by a controlled ordinary differential equation, which takes
also account of a hysteretic component: namely, the output
of a Preisach operator of hysteresis. We derive a discontinuous
infinite
dimensional Hamilton–Jacobi equation and prove that, under fairly
general hypotheses, the value function is the unique bounded and
uniformly continuous viscosity solution of the corresponding Cauchy
problem.
LA - eng
KW - Hysteresis; optimal control; dynamic programming; viscosity
solutions.; hysteresis; viscosity solutions
UR - http://eudml.org/doc/90730
ER -
References
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