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Please use this identifier to cite or link to this item: http://hdl.handle.net/11299/37270

Title: A Comparison between Hankel Norms and Induced System Norms
Authors: Lu, Wayne W.
Balas, Gary J.
Keywords: Hankel norm
LTIV system
norm-induced initial condition
system integral invariance
Issue Date: Nov-1998
Publisher: Institute of Electrical and Electronic Engineers
Citation: Lu, W. W. And Balas, G. J. (1998). "A Comparison between Hankel Norms and Induced System Norms." IEEE Transactions on Automatic Control. 43(11), 1658-1662.
Abstract: A general definition is formulated for the Hankel norms as the induced norms of a strictly proper stable linear time-invariant (LTIV) system mapping vector-valued Lp-past inputs to vector-valued Lq-future outputs. Some Hankel norms are derived by the maximum principle and duality. A property termed the system integral invariance is introduced by the derivation of those Hankel norms. Furthermore, the norm-induced initial conditions and the comparison between the Hankel norms and the induced system norms are also presented.
Description: ©1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
URI: http://purl.umn.edu/37270
Appears in Collections:Dr. Gary J. Balas

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