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Zbl 0665.93018
Hautus, M.L.J.; Sontag, Eduardo D.
New results on pole-shifting for parametrized families of systems. (English)
[J] J. Pure Appl. Algebra 40, 229-244 (1986). ISSN 0022-4049

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 2000:: *93B55 Pole and zero placement problems
93B25 Algebraic theory of control systems

Keywords: systems over commutative rings; finitely generated projective state space

Citations: Zbl 0455.15009

Cited in: Zbl 0665.93019

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