TY - JOUR
T1 - Bounds on generalized structured singular values via the Perron root of matrix majorants
AU - Chen, Jie
AU - Nett, Carl N.
PY - 1992/12
Y1 - 1992/12
N2 - The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an lp-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design. © 1992.
AB - The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an lp-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design. © 1992.
KW - block-norm matrix
KW - Perron root
KW - robustness analysis
KW - Structured singular value
KW - uncertainty
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U2 - 10.1016/0167-6911(92)90075-4
DO - 10.1016/0167-6911(92)90075-4
M3 - RGC 21 - Publication in refereed journal
VL - 19
SP - 439
EP - 449
JO - Systems and Control Letters
JF - Systems and Control Letters
SN - 0167-6911
IS - 6
ER -