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Structured singular value with repeated scalar blocks

Packard, Andy and Doyle, John (1988) Structured singular value with repeated scalar blocks. In: 1988 American Control Conference. IEEE , Piscataway, NJ, pp. 1213-1218.

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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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URLURL TypeDescription
Doyle, John0000-0002-1828-2486
Additional Information:© 1988 IEEE. The authors gratefully acknowledge financial support from AFOSR, NASA and ONR.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Record Number:CaltechAUTHORS:20170712-154141091
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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
Deposited By: Kristin Buxton
Deposited On:13 Jul 2017 16:27
Last Modified:03 Oct 2019 18:15

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