2008, English, Article edition: Conditions for the Simultaneous Stabilizability of a Segment of Systems Fonte, Christophe

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2008
Language
  • English

Edition details

Title
  • Conditions for the Simultaneous Stabilizability of a Segment of Systems
Author
  • Fonte, Christophe
Published
  • HAL - CCSD
  • 2008
Physical Description
  • text
Subjects
Notes
  • This paper presents an analysis for testing the simultaneous stabilizability of uncertain single input single output invariant time systems defined as a segment of linear systems. It is proved that conditions on the negative real axis of the Nyquist plot to ensure the Hurwitzness of the corresponding Diophantine equation are equivalent to some criteria of positive semidefinite matrix and of sums of squares of polynomials. Finally, these results yield to a tractable method to test the simultaneous stabilizability of uncertain segments of systems when it may be given a simultaneous compensator for the two endpoints of this segment.
  • HAL:hal-00347494, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00347494/​en/​
  • DOI:10.1109/​ACC.2008.4587061
Language
  • English
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