CausalC 0 operators and feedback stability

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1977 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Systems Theory, volume 11, pages 283-288 (issn: 0025-5661, eissn: 1433-0490,

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Authors: Avraham Feintuch;

doi: 10.1007/bf01768482

CausalC 0 operators and feedback stability

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Abstract

Linear feedback systems, for which the return differenceT is aC0 operator are studied. It is shown that ifT is essentially unitary then such a system is well posed and stable. All strictly causalC0 operators for whichI–T*T is compact are characterized.

Related Organizations

Ben-Gurion University of the Negev
Israel

Keywords

Groups and semigroups of linear operators, Linear systems in control theory, Control/observation systems in abstract spaces, Popov-type stability of feedback systems

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