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Polynomial Input-Output Stability for Linear Systems

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Original languageEnglish
Pages (from-to)2797-2802
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number10
Publication statusPublished - 1 Oct 2015
Publication typeA1 Journal article-refereed


We introduce the concept of polynomial input-output stability for infinite-dimensional linear systems. We show that this stability type corresponds exactly to the recent notion of P-stability in the frequency domain. In addition, we show that on a Hilbert space a regular linear system whose system operator generates a polynomially stable semigroup is always polynomially input-output stable, and present additional conditions under which the system is input-output stable. The results are illustrated with an example of a polynomially input-output stable one-dimensional wave system.


  • Distributed parameter system, Stability

Publication forum classification

Field of science, Statistics Finland