Research

Infinite-dimensional negative imaginary systems


Reference:

Opmeer, M., 2011. Infinite-dimensional negative imaginary systems. IEEE Transactions on Automatic Control, 56 (12), pp. 2973-2976.

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    Official URL:

    http://dx.doi.org/10.1109/TAC.2011.2162886

    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.

    Details

    Item Type Articles
    CreatorsOpmeer, M.
    DOI10.1109/TAC.2011.2162886
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statement05966319.pdf: © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.; Opmeer_IEEETransAC_2011_56_12_2973.pdf: © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
    RefereedYes
    StatusPublished
    ID Code27000

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