Null controllability of an ODE-heat system with coupled boundary and internal terms

2024/07/28 by Idriss Boutaayamou, Boutaayamou, Idriss, Fouad Et-tahri +3 · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2407.19515

openalex publication_date 2024/07/28 · openalex created_date 2024/08/01 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the theoretical and numerical analysis of the null controllability of a coupled ODE-heat system internally and at the boundary with Neumann boundary control. First, we establish the null controllability of the ODE-heat with distributed control using Carleman estimates. Then, we conclude by the strategy of space domain extension. Finally, we illustrate the analysis with some numerical experiments.

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• Controllability of finite-dimensional linear fractional systems under uncertain parameters

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