Does star norm capture l/sub 1/ norm?

Does star norm capture l/sub 1/ norm?

This paper pertains to the results obtained in Nagpal et al. (1994) where the authors present a norm, which they call the "*-norm", and conclude that minimizing the star norm results in good peak to peak disturbance rejection. The problem they treat reduces to solving a set of parameter de...

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Bibliographische Detailangaben
Hauptverfasser: Venkatesh, S.R., Dahleh, M.A.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Control systems
Ellipsoids
Equations
Filtering
Filters
Laboratories
Observability
Symmetric matrices
Transfer functions
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Beschreibung
Zusammenfassung:This paper pertains to the results obtained in Nagpal et al. (1994) where the authors present a norm, which they call the "*-norm", and conclude that minimizing the star norm results in good peak to peak disturbance rejection. The problem they treat reduces to solving a set of parameter dependent LMIs for standard synthesis problems in control and estimation. In this paper, the authors show using examples that minimizing the star norm does not necessarily imply good peak to peak disturbance rejection.
DOI:10.1109/ACC.1995.529387