On pole assignability and feedback cyclisation for systems over rings of finite dimension. (English) Zbl 0663.93034
It is shown that the rank of the projective added to the state space of a system in dynamic feedback can be decreased by assigning some poles to the original system first and by using these to obtain a new system with state space of lower rank on which dynamic feedback can be applied.
MSC:
| 93B55 | Pole and zero placement problems |
| 13C10 | Projective and free modules and ideals in commutative rings |
| 93C05 | Linear systems in control theory |
| 93B25 | Algebraic methods |
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