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Some results on pole-placement and reachability
Authors:Pramod K Sharma
Affiliation:

Department of Mathematics, Indore University, Vigyan Bhavan, Khandwa Rd., Indore 452-001, India

Abstract:It is proved that a 2-dimensional system (F, G) over a projective free ring is pole-assignable if and only if im G contains a unimodular. Further it is shown that im G contains a unimodular iff F−1 (im G) contains a unimodular. Some observations on reachability are also mentioned in the last section.
Keywords:Reachability  Pole-assignment  Feedback  Projective module
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