Convolution and Hankel operator norms for linear systems
- 1 January 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 34 (1) , 94-97
- https://doi.org/10.1109/9.8655
Abstract
Some norms are derived for convolution and Hankel operators associated with linear, time-invariant systems. In certain cases, these norms are shown to be identical. The tightest possible bound has been obtained for the absolute magnitude of the Euclidean 2 or infinity norm of the time-domain response of a multioutput system to certain classes of input disturbance.Keywords
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