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Pole shifting for families of linear systems depending on at most three parameters

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/0024-3795(90)90125-v

Abstract

Abstract We prove that for any family of n-dimensional controllable linear systems, continuously parametrized by up to three parameters, and for any continuous selection of n eigenvalues (in complex conjugate pairs), there is some dynamic controller of dimension 3 n which is itself continuously parametrized and for which the closed-loop eigenvalues are these same eigenvalues, each counted four times. An analogous result holds also for smooth parametrizations.

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