A comparison between Hankel norms and induced system norms |
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Authors: | Lu W.W. Balas G.J. |
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Affiliation: | Center of Control Sci. & Dynamical Syst., Minnesota Univ., Minneapolis, MN; |
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Abstract: | A general definition is formulated for the Hankel norms as the induced norms of a strictly proper stable linear time-invariant (LTI) 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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