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New results on pole-shifting for parametrized families of systems. (English) Zbl 0665.93018
The authors generalise Corollary 3.6 of a paper by {\it R. Bumby}, {\it E. D. Sontag}, {\it H. J. Sussmann} and {\it W. Vasconcelos} [ibid. 20, 113-127 (1981; Zbl 0455.15009)] to systems over commutative rings with a finitely generated projective state space. They also prove that rings of continuous, smooth or real analytic functions on a manifold X are pole- assignable if and only if X is one-dimensional. Some results on PAF rings are also obtained.

MSC:
93B55Pole and zero placement problems
93B25Algebraic theory of control systems
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References:
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