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Controllability of generalized linear time-invariant systems. (English) Zbl 0622.93007
This note deals with the problem of c-controllability of generalized systems. A new criterion for determining c-controllability of generalized systems is established. With controllability established, it is shown that it is always possible to transfer the system from the initial position to any target by a control vector-valued function whose elements are polynomials of bounded degree. The polynomial coefficients are obtained as a solution to a set of linear equations.

MSC:
93B05 Controllability
34A99 General theory for ordinary differential equations
93C05 Linear systems in control theory
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