Stabilization of well-posed infinite-dimensional systems by dynamic sampled-data feedback

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Abstract

It is shown that a set of six natural conditions is necessary and sufficient for the existence
of a finite-dimensional stabilizing sampled-data controller for a well-posed infinite-dimensional
system. The underlying stability concept for the sampled-data system is reminiscent of the notion
of input-to-state stability from nonlinear control theory.
Original languageEnglish
Pages (from-to)1203-1231
Number of pages29
JournalSIAM Journal on Control and Optimization
Volume51
Issue number2
Early online date21 Mar 2013
DOIs
Publication statusPublished - 2013

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Sampled-data Systems
Infinite-dimensional Systems
Nonlinear Control
Control Theory
Stabilization
Sufficient
Feedback
Controller
Necessary
Control theory
Controllers
Concepts

Cite this

Stabilization of well-posed infinite-dimensional systems by dynamic sampled-data feedback. / Logemann, Hartmut.

In: SIAM Journal on Control and Optimization, Vol. 51, No. 2, 2013, p. 1203-1231.

Research output: Contribution to journalArticle

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