The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws

In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a complete characterization of the minimal control time for the exact controllability property.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-10-25
DOI
https://doi.org/10.1051/cocv/2024069/pdf
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

Funders

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article

The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws

Springer Link (Chiba Institute of Technology)
Stability and Controllability of Differential Equations
article

The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws

article en

Abstract

In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a complete characterization of the minimal control time for the exact controllability property.

Springer Link (Chiba Institute of Technology)
National Natural Science Foundation of China, Narodowym Centrum Nauki
Peace, Justice and strong institutions
Openalex Percentile: Top 61%
Stability and Controllability of Differential Equations
DOIOpen Access PDFOpenAlex
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The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws · Springer Link (Chiba Institute of Technology) (2024) | TGRS Research Map | TGRS