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.
Document type :
Book sections
Complete list of metadatas

Cited literature [19 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00526150
Contributor : Hugues Mounier <>
Submitted on : Wednesday, October 13, 2010 - 7:10:35 PM
Last modification on : Thursday, April 5, 2018 - 12:30:04 PM
Long-term archiving on : Thursday, October 25, 2012 - 5:11:27 PM

File

LNCIS407-HMJRFW-2010.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00526150, version 1

Collections

Citation

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⟩

Share

Metrics

Record views

361

Files downloads

956