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
This publication has 7 references indexed in Scilit:
- A Course in H∞ Control TheoryPublished by Springer Nature ,1987
- The Hankel operator and its induced normsInternational Journal of Control, 1985
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†International Journal of Control, 1984
- Functional AnalysisGrundlehren der mathematischen Wissenschaften, 1978
- Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable caseIEEE Transactions on Automatic Control, 1976
- Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output caseIEEE Transactions on Automatic Control, 1976
- Feedback Systems: Input-Output PropertiesJournal of Dynamic Systems, Measurement, and Control, 1975