Regional averaged control problems with minimum energy constrained by distributed parabolic systems

Maawiya Ould Sidi; Rabie Zine; Abdel Baset A. Mohamed

doi:10.22436/jmcs.026.04.03

Regional averaged control problems with minimum energy constrained by distributed parabolic systems

Maawiya Ould Sidi
, Rabie Zine
, Abdel Baset A. Mohamed

Mathematics

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

2 Scopus citations

Abstract

This paper study the regional average controllability problems governed by distributed parabolic systems. We establish the definition and characterization of a system which is regional averaged controllable. The averaged regional control problem with minimum energy is considered and solved using HUM (Hilbert uniqueness method). Thereafter, the case of regional gradient averaged controllability is treated.

Original language	English
Pages (from-to)	349-356
Number of pages	8
Journal	Journal of Mathematics and Computer Science
Volume	26
Issue number	4
DOIs	https://doi.org/10.22436/jmcs.026.04.03
State	Published - 2022

Keywords

Average controllability
Distributed systems
Gradient controllability
Minimum energy
Regional controllability

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10.22436/jmcs.026.04.03

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title = "Regional averaged control problems with minimum energy constrained by distributed parabolic systems",

abstract = "This paper study the regional average controllability problems governed by distributed parabolic systems. We establish the definition and characterization of a system which is regional averaged controllable. The averaged regional control problem with minimum energy is considered and solved using HUM (Hilbert uniqueness method). Thereafter, the case of regional gradient averaged controllability is treated.",

keywords = "Average controllability, Distributed systems, Gradient controllability, Minimum energy, Regional controllability",

author = "Sidi, \{Maawiya Ould\} and Rabie Zine and Mohamed, \{Abdel Baset A.\}",

year = "2022",

doi = "10.22436/jmcs.026.04.03",

language = "English",

volume = "26",

pages = "349--356",

journal = "Journal of Mathematics and Computer Science",

issn = "2008-949X",

publisher = "International Scientific Research Publications",

number = "4",

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TY - JOUR

T1 - Regional averaged control problems with minimum energy constrained by distributed parabolic systems

AU - Sidi, Maawiya Ould

AU - Zine, Rabie

AU - Mohamed, Abdel Baset A.

PY - 2022

Y1 - 2022

N2 - This paper study the regional average controllability problems governed by distributed parabolic systems. We establish the definition and characterization of a system which is regional averaged controllable. The averaged regional control problem with minimum energy is considered and solved using HUM (Hilbert uniqueness method). Thereafter, the case of regional gradient averaged controllability is treated.

AB - This paper study the regional average controllability problems governed by distributed parabolic systems. We establish the definition and characterization of a system which is regional averaged controllable. The averaged regional control problem with minimum energy is considered and solved using HUM (Hilbert uniqueness method). Thereafter, the case of regional gradient averaged controllability is treated.

KW - Average controllability

KW - Distributed systems

KW - Gradient controllability

KW - Minimum energy

KW - Regional controllability

UR - https://www.scopus.com/pages/publications/85123192484

U2 - 10.22436/jmcs.026.04.03

DO - 10.22436/jmcs.026.04.03

M3 - Article

AN - SCOPUS:85123192484

SN - 2008-949X

VL - 26

SP - 349

EP - 356

JO - Journal of Mathematics and Computer Science

JF - Journal of Mathematics and Computer Science

IS - 4

ER -

Regional averaged control problems with minimum energy constrained by distributed parabolic systems

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Keywords

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