
Accession Number : ADA189123
Title : Sensitivity Reduction Over a Frequency Band,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS
Personal Author(s) : Ohta, Yoshito ; Tadmor, Gilead ; Mitter, Sanjoy K
PDF Url : ADA189123
Report Date : Jul 1987
Pagination or Media Count : 24
Abstract : This paper considers the problem of reducing the sensitivity of a possibly infinite dimensional linear singleinput singleoutput system over a finite frequency interval by feedback. Specifically the following are proven: (i) if one wants to bound the overall sensitivity, the existence of a nontrivial inner part inhibits the reduction of the sensitivity over the interval: (ii) in a system that is continuous and has at most countably many zeros on the imaginary axis, one can reduce the sensitivity over the interval arbitrarily small while the overall sensitivity is kept bounded if and only if the system is outer and has no zeros on the interval. These extend results for rational transfer functions.
Descriptors : *RATIONAL FUNCTIONS, *SENSITIVITY, *TRANSFER FUNCTIONS, FREQUENCY, FREQUENCY BANDS, INTERVALS, REDUCTION
Subject Categories : Cybernetics
Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE