A Comparative Stability Analysis of Neumann and Dirichlet Boundary MPC for the Heat Equation

Abstract : We continue our study on stability properties of model predictive control without terminal constraints applied to the heat equation. Here, we focus on boundary control and in particular on the differences between Neumann and Dirichlet boundary conditions. We first illustrate the differences by means of numerical simulations and then explain our findings by a theoretical analysis.
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1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, 2013, Paris, France. Proceedings of the 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations, pp.133-138, 〈10.3182/20130925-3-FR-4043.00048〉
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Nils Altmüller, Lars Grüne. A Comparative Stability Analysis of Neumann and Dirichlet Boundary MPC for the Heat Equation. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, 2013, Paris, France. Proceedings of the 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations, pp.133-138, 〈10.3182/20130925-3-FR-4043.00048〉. 〈hal-01098268〉

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