On a class of boundary control problems

Rainer Picard, Sascha Trostorff, Marcus Waurick

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We discuss a class of linear control problems in a Hilbert space setting, which covers diverse systems such as hyperbolic and parabolic equations with boundary control and boundary observation even including memory terms. We introduce abstract boundary data spaces in which the control and observation equations can be formulated without strong geometric constraints on the underlying domain. The results are applied to a boundary control problem for the equations of visco-elasticity.
Original languageEnglish
Pages (from-to)185-204
Number of pages20
JournalOperators and Matrices
Volume8
Issue number1
DOIs
Publication statusPublished - 31 Mar 2014

Keywords

  • linear control systems
  • well-posedness
  • evolutionary equations
  • memory

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