REACHABILITY, OBSERVABILITY, AND MINIMALITY FOR SHIFT-INVARIANT Two-POINT BOUNDARY-VALUE DESCRIPTOR SYSTEMS*
نویسندگان
چکیده
In this paper we study the system-theoretic properties of two related classes of shift-invariant two-point boundary-value descriptor systems (TPBVDSs), namely displacement systems for which Green's function is shift-invariant, and stationary systems for which the input -output map is stationary. For such systems it is possible to obtain detailed characterizations of the properties of weak reachability and observability introduced in [16] and of minimality as well. An important difference, that has also been noted before in a different context [9], is that there is a certain level of nonuniqueness in minimal realizations. Another property that is studied in this paper is that of extendibility, i.e., the concept of considering a TPBVDS as being defined on a sequence of intervals of increasing length. Necessary and sufficient conditions for extendibility are given.
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