Polynomial Input-Output Stability for Linear Systems
Transactions on Automatic Control(2015)
摘要
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 inputoutput 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.
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关键词
Polynomials,Stability criteria,Transfer functions,Linear systems,Hilbert space,Frequency-domain analysis,Robustness
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