Infinite-dimensional negative imaginary systems

Mark Opmeer

doi:10.1109/TAC.2011.2162886

Infinite-dimensional negative imaginary systems

Mark Opmeer

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

143 Downloads (Pure)

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 language	English
Pages (from-to)	2973-2976
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	12
DOIs	https://doi.org/10.1109/TAC.2011.2162886
Publication status	Published - Dec 2011

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10.1109/TAC.2011.2162886

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