Relaxation for a control problem in concrete carbonation modeling

Toyohiko Aiki; Sergey A. Timoshin

doi:10.1137/17M1119251

Relaxation for a control problem in concrete carbonation modeling

Toyohiko Aiki^*, Sergey A. Timoshin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A nonlinear partial differential control system subject to a state-dependent and nonconvex constraint is considered. This system arises in concrete carbonation modeling and takes account of hysteresis effects. We prove the existence of solutions to the system and establish the relaxation property: The density in an appropriate topology of solutions among solutions of the system with the convexified control constraint.

Original language	English
Pages (from-to)	3489-3502
Number of pages	14
Journal	SIAM Journal on Control and Optimization
Volume	55
Issue number	6
DOIs	https://doi.org/10.1137/17M1119251
Publication status	Published - 2017
Externally published	Yes

Keywords

Concrete carbonation
Hysteresis
Nonlinear evolution control systems
Relaxation

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10.1137/17M1119251

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title = "Relaxation for a control problem in concrete carbonation modeling",

abstract = "A nonlinear partial differential control system subject to a state-dependent and nonconvex constraint is considered. This system arises in concrete carbonation modeling and takes account of hysteresis effects. We prove the existence of solutions to the system and establish the relaxation property: The density in an appropriate topology of solutions among solutions of the system with the convexified control constraint.",

keywords = "Concrete carbonation, Hysteresis, Nonlinear evolution control systems, Relaxation",

author = "Toyohiko Aiki and Timoshin, {Sergey A.}",

note = "Publisher Copyright: {\textcopyright} 2017 Society for Industrial and Applied Mathematics.",

year = "2017",

doi = "10.1137/17M1119251",

language = "English",

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AU - Aiki, Toyohiko

AU - Timoshin, Sergey A.

PY - 2017

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AB - A nonlinear partial differential control system subject to a state-dependent and nonconvex constraint is considered. This system arises in concrete carbonation modeling and takes account of hysteresis effects. We prove the existence of solutions to the system and establish the relaxation property: The density in an appropriate topology of solutions among solutions of the system with the convexified control constraint.

KW - Concrete carbonation

KW - Hysteresis

KW - Nonlinear evolution control systems

KW - Relaxation

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U2 - 10.1137/17M1119251

DO - 10.1137/17M1119251

M3 - Article

AN - SCOPUS:85039945713

SN - 0363-0129

VL - 55

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EP - 3502

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 6

ER -

Relaxation for a control problem in concrete carbonation modeling

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Keywords

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