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Boundary value problems and convolutional systems over rings of ultradistributions

Abstract : One dimensional boundary value problems with lumped controls are considered. Such systems can be modeled as modules over a ring of Beurling ultradistributions with compact support. This ring appears naturally from a corresponding Cauchy problem. The heat equation with different boundary conditions serves for illustration.
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Submitted on : Wednesday, October 13, 2010 - 7:10:35 PM
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Hugues Mounier, Joachim Rudolph, Frank Woittennek. Boundary value problems and convolutional systems over rings of ultradistributions. Jean Levine,Philippe Müllhaupt. Advances in the Theory of Control, Signals and Systems with Physical Modeling, Springer, pp.179-188, 2010, Lecture Notes in Control and Information Sciences. ⟨hal-00526150⟩

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