Stabilizable by a stable and by an inverse stable but not by a stable and inverse stable

Blondel, Vincent;Gevers, Michel;Mortini, R.;Rupp, R.
(1992) Proceedings of 1992 31st IEEE Conference on Decision and Control — Location: Tucson, AZ, USA (16.December.1992)

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  • Author
  • Gevers, MichelUCLouvain
    Author
  • Mortini, R.
    Author
  • Rupp, R.
    Author
Abstract
The authors disprove conjectures on simultaneous stabilizability conditions by showing that, unlike the case of two plants, the existence of a simultaneous stabilizing controller for more than two plants is not guaranteed by the existence of a controller such that the closed loops have no real unstable poles. An example of a plant which has the even interlacing property but which is not stabilizable by a bistable controller is presented.
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Blondel, V., Gevers, M., Mortini, R., & Rupp, R. (1992). Stabilizable by a stable and by an inverse stable but not by a stable and inverse stable. Proceedings of the 31st IEEE Conference on Decision and Control (Cat.No.92CH3229-2), Vol. 1, p. 832-3. https://hdl.handle.net/2078.5/230452