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A Comparison between Hankel Norms and Induced System Norms
Lu, Wayne W.; Balas, Gary J. (Institute of Electrical and Electronic Engineers, 1998)
 

Title 
A Comparison between Hankel Norms and Induced System Norms

Issue Date
1998-11

Publisher
Institute of Electrical and Electronic Engineers

Type
Article

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.

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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.

Suggested Citation
Lu, Wayne W.; Balas, Gary J.. (1998). A Comparison between Hankel Norms and Induced System Norms. Institute of Electrical and Electronic Engineers. Retrieved from the University of Minnesota Digital Conservancy, http://purl.umn.edu/37270.


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