Decay of singular values of the Gramians of infinite-dimensional systems

Research output: Chapter in Book/Report/Conference proceedingChapter in a published conference proceeding

10 Citations (SciVal)

Abstract

We show that the Gramians of a control system with an analytic semigroup, control and observation operators that are not too unbounded and which have finite-dimensional input and output spaces have singular values which decay exponentially in the square root. As a corollary it is shown that the Hankel singular values of such control systems also decay exponentially in the square root. Another corollary shows that solutions of algebraic Riccati equations for such systems also have singular values which decay exponentially in the square root.
Original languageEnglish
Title of host publicationProceedings of the 14th European Control Conference (ECC), 2015
PublisherIEEE
Pages1183-1188
DOIs
Publication statusPublished - 2015
Event14th European Control Conference (ECC2015) - Linz, Austria
Duration: 15 Jul 201517 Jul 2015

Conference

Conference14th European Control Conference (ECC2015)
Country/TerritoryAustria
CityLinz
Period15/07/1517/07/15

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