Abstract
In this note, we discuss some new results concerning a lifting method introduced by the authors in order to study the structured singular value applied to input/output operators of control systems. We moreover give a new criterion which guarantees that the structured singular value equals its upper bound defined by D-scalings.
This work was supported in part by grants from the Research Fund of Indiana University, by the National Science Foundation DMS-8811084, ECS-9122106, by the Air Force Office of Scientific Research AFOSR AF/F49620-94-1-00S8DEF, and by the Army Research Office DAAH04-94-G-0054 and DAAH04-93-G-0332.
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With great admiration, this paper is dedicated to Professor George Zames on the occasion of his 60-th birthday.
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© 1995 Springer-Verlag London Limited
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Bercovici, H., Foias, C., Tannenbaum, A. (1995). On the structured singular value for operators on Hilbert space. In: Francis, B.A., Tannenbaum, A.R. (eds) Feedback Control, Nonlinear Systems, and Complexity. Lecture Notes in Control and Information Sciences, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027667
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DOI: https://doi.org/10.1007/BFb0027667
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