Packard, Andy and Doyle, John (1988) Structured singular value with repeated scalar blocks. In: 1988 American Control Conference. IEEE , Piscataway, NJ, pp. 1213-1218. https://resolver.caltech.edu/CaltechAUTHORS:20170712-154141091
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Abstract
The structured singular value, μ, is an important linear algebra tool to study a class of matrix perturbation problems, [Doy]. It is useful for analyzing the robustness of stability and performance of dynamical systems [DoyWS]. This paper studies uncertainty structures involving repeated scalar parameters in more detail than in [Doy]. In [DoyP], it was shown that the frequency domain μ tests of [DoyWS] can conceptually be reduced to a single constant matrix μ test, but the uncertainty structure must be augmented with a large repeated scalar block. This paper studies the properties of μ and the upper bound with these types of uncertainty blocks, and compares the frequency domain vs. state space μ based tests, assuming that the upper bound is what can be reliably computed.
Item Type: | Book Section | ||||||||
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Additional Information: | © 1988 IEEE. The authors gratefully acknowledge financial support from AFOSR, NASA and ONR. | ||||||||
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Record Number: | CaltechAUTHORS:20170712-154141091 | ||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170712-154141091 | ||||||||
Official Citation: | A. Packard and J. Doyle, "Structured singular value with repeated scalar blocks," 1988 American Control Conference, Atlanta, Ga, USA, 1988, pp. 1213-1218. | ||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
ID Code: | 79033 | ||||||||
Collection: | CaltechAUTHORS | ||||||||
Deposited By: | Kristin Buxton | ||||||||
Deposited On: | 13 Jul 2017 16:27 | ||||||||
Last Modified: | 03 Oct 2019 18:15 |
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