State feedback in general discrete-time systems

M.L.J. Hautus

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review


A characterization is given for the class of systems obtainable by static state feedback in a general discrete-time system. To this extent, an input output description of such systems is given. A definition is given of feedback and the problem of the determining the feedback class, and a definition of state response maps. The concept of the Nerode map and equivalence enables us to give an algebraic treatment of the problem.
Original languageEnglish
Title of host publicationOperators, systems, and linear algebra: three decades of algebraic systems theory
EditorsU. Helmke, D. Prätzel-Wolters, E. Zerz
Place of PublicationStuttgart
PublisherB.G. Teubner
Number of pages223
ISBN (Print)3-519-02608-2
Publication statusPublished - 1997


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