Polynomial Input-Output Stability for Linear Systems
Research output: Contribution to journal › Article › Scientific › peer-review
|Number of pages||6|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - 1 Oct 2015|
|Publication type||A1 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.