Infinite-dimensional negative imaginary systems

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Abstract

We consider second order infinite-dimensional systems with force control and collocated position measurement interconnected with finite-dimensional controllers of the same type. We show that under assumptions that generalize those in the finite-dimensional case (the theory of negative imaginary systems), asymptotic stability of the closed-loop system can be concluded, but that the closed-loop system may not be exponentially stable nor input-output stable.
Original languageEnglish
Pages (from-to)2973-2976
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume56
Issue number12
DOIs
Publication statusPublished - Dec 2011

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