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- W1988451696 abstract "Laguerre methods are used to develop concrete techniques and results for approximating stable infinite dimensional systems. Both Hankel norm and L∞ approximation by Laguerre filters are studied. The infimum of the Hankel norm approximation error when the system is approximated by Laguerre filters of given maximum order is given by the norm of a certain shifted Hankel operator, and the best Laguerre filter to approximate the system is obtained essentially from the associated eigenproblem for the shifted Hankel operator. Hankel-optimal Laguerre filters are here called CF-Laguerre filters as there is a certain connection to the Caratheodory-Fejer interpolation problem, and typically provide near best solutions to related L∞ approximation problems. A time domain compressed Laguerre shift method for solving certain Nehari problems for delay systems is used to determine analytically the achievable Hankel error norms and thus also to obtain bounds for the achievable L∞ error norm for delay systems. A result on a Laguerre filter approximation problem in the Hilbert-Schmidt norm is given as well." @default.
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- W1988451696 date "1990-03-01" @default.
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- W1988451696 title "Approximation of stable systems by laguerre filters" @default.
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- W1988451696 doi "https://doi.org/10.1016/0005-1098(90)90127-4" @default.
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