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CausalC 0 operators and feedback stability

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Abstract

Linear feedback systems, for which the return differenceT is aC 0 operator are studied. It is shown that ifT is essentially unitary then such a system is well posed and stable. All strictly causalC 0 operators for whichI–T * T is compact are characterized.

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Feintuch, A. CausalC 0 operators and feedback stability. Math. Systems Theory 11, 283–288 (1977). https://doi.org/10.1007/BF01768482

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  • DOI: https://doi.org/10.1007/BF01768482

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