Building systems from simple hyperbolic ones

H.J. Zwart, Y. Le Gorrec, B. Maschke

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
3 Downloads (Pure)

Abstract

In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.'s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalSystems and Control Letters
Volume91
DOIs
Publication statusPublished - 1 May 2016

Keywords

  • Impedance passive
  • Infinite-dimensional systems theory
  • Partial differential equation

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