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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 45 Issue: 2

Null controllability of heat equation with switching controls under Robin’s boundary condition

Ali Hamidoğlu
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Publication Date
2016-04-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then we try to build switching control strategies guaranteeing that, at each instant of time, only one control is activated. 

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we consider the null controllability of 1-d heat equation endowed with Robin’s boundary conditions, when the operator − d 2 dx2 has positive eigenvalues and try to find sufficient conditions for building switching controls.
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Key Findings & Data:In [1], the author developed a first analysis of this problem with Dirichlet’s boundary conditions and obtain sufficient conditions for switching controls.
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Conclusion & Impact:Then we try to build switching control strategies guaranteeing that, at each instant of time, only one control is activated. 
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Heat equation · Robin’s boundary condition · variational approach

Abstract

In this paper, we consider the null controllability of 1-d heat equation endowed with Robin’s boundary conditions, when the operator − d 2 dx2 has positive eigenvalues and try to find sufficient conditions for building switching controls. In [1], the author developed a first analysis of this problem with Dirichlet’s boundary conditions and obtain sufficient conditions for switching controls. We firstly consider 1-d heat system endowed with two controls. Then we try to build switching control strategies guaranteeing that, at each instant of time, only one control is activated. 

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Cite This Article

Hamidoğlu, A. (2016). Null controllability of heat equation with switching controls under Robin’s boundary condition. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 2. https://ajindex.com/articles/1403166

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References (8)

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