A Comparison between Hankel Norms and Induced System Norms

Lu, Wayne W.
Balas, Gary J.
1998-11
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A Comparison between Hankel Norms and Induced System Norms

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1998-11

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Institute of Electrical and Electronic Engineers

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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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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.

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Lu, Wayne W.; Balas, Gary J.. (1998). A Comparison between Hankel Norms and Induced System Norms. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/37270.

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