Exact Controllability of the Heat Equation with Boundary Control and Boundary Noise

We study an exact controllability problem for a system governed by the heat equation with Neumann boundary control and boundary noise. We reduce the control problem to a moment problem for which we establish sufficient conditions for its resolution.

Authors

Institutions

Publication Details

Journal
Mathematics
Published
2025-11-27
DOI
https://doi.org/10.3390/math13233800
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Exact Controllability of the Heat Equation with Boundary Control and Boundary Noise

Salah‐Eddine Rebiai, Noudjoud Hamdi
Mathematics
Stability and Controllability of Differential Equations
article

Exact Controllability of the Heat Equation with Boundary Control and Boundary Noise

Salah‐Eddine Rebiai, Noudjoud Hamdi
article en

Abstract

We study an exact controllability problem for a system governed by the heat equation with Neumann boundary control and boundary noise. We reduce the control problem to a moment problem for which we establish sufficient conditions for its resolution.

MathematicsVol. 13(23)
University of Batna 1 (DZ), Abbès Laghrour University of Khenchela (DZ)
Openalex Percentile: Top 54%
Stability and Controllability of Differential Equations
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Exact Controllability of the Heat Equation with Boundary Control and Boundary Noise — Salah‐Eddine Rebiai, Noudjoud Hamdi · Mathematics (2025) | TGRS Research Map | TGRS