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.
|Title of host publication||Operators, systems, and linear algebra: three decades of algebraic systems theory|
|Editors||U. Helmke, D. Prätzel-Wolters, E. Zerz|
|Place of Publication||Stuttgart|
|Number of pages||223|
|Publication status||Published - 1997|