---
_id: '7550'
abstract:
- lang: eng
  text: 'We consider an optimal control problem for an abstract nonlinear dissipative
    evolution equation. The differential constraint is penalized by augmenting the
    target functional by a nonnegative global-in-time functional which is null-minimized
    in the evolution equation is satisfied. Different variational settings are presented,
    leading to the convergence of the penalization method for gradient flows, noncyclic
    and semimonotone flows, doubly nonlinear evolutions, and GENERIC systems. '
acknowledgement: This work is supported by Vienna Science and Technology Fund (WWTF)
  through Project MA14-009 and by the Austrian Science Fund (FWF) projects F 65 and
  I 2375.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
  full_name: Portinale, Lorenzo
  id: 30AD2CBC-F248-11E8-B48F-1D18A9856A87
  last_name: Portinale
- first_name: Ulisse
  full_name: Stefanelli, Ulisse
  last_name: Stefanelli
citation:
  ama: Portinale L, Stefanelli U. Penalization via global functionals of optimal-control
    problems for dissipative evolution. <i>Advances in Mathematical Sciences and Applications</i>.
    2019;28(2):425-447.
  apa: Portinale, L., &#38; Stefanelli, U. (2019). Penalization via global functionals
    of optimal-control problems for dissipative evolution. <i>Advances in Mathematical
    Sciences and Applications</i>. Gakko Tosho.
  chicago: Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals
    of Optimal-Control Problems for Dissipative Evolution.” <i>Advances in Mathematical
    Sciences and Applications</i>. Gakko Tosho, 2019.
  ieee: L. Portinale and U. Stefanelli, “Penalization via global functionals of optimal-control
    problems for dissipative evolution,” <i>Advances in Mathematical Sciences and
    Applications</i>, vol. 28, no. 2. Gakko Tosho, pp. 425–447, 2019.
  ista: Portinale L, Stefanelli U. 2019. Penalization via global functionals of optimal-control
    problems for dissipative evolution. Advances in Mathematical Sciences and Applications.
    28(2), 425–447.
  mla: Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals
    of Optimal-Control Problems for Dissipative Evolution.” <i>Advances in Mathematical
    Sciences and Applications</i>, vol. 28, no. 2, Gakko Tosho, 2019, pp. 425–47.
  short: L. Portinale, U. Stefanelli, Advances in Mathematical Sciences and Applications
    28 (2019) 425–447.
date_created: 2020-02-28T10:54:41Z
date_published: 2019-10-22T00:00:00Z
date_updated: 2022-06-17T07:52:41Z
day: '22'
department:
- _id: JaMa
external_id:
  arxiv:
  - '1910.10050'
intvolume: '        28'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.1910.10050'
month: '10'
oa: 1
oa_version: Preprint
page: 425-447
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Advances in Mathematical Sciences and Applications
publication_identifier:
  issn:
  - 1343-4373
publication_status: published
publisher: Gakko Tosho
quality_controlled: '1'
status: public
title: Penalization via global functionals of optimal-control problems for dissipative
  evolution
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 28
year: '2019'
...