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D. Youla, J. Bongiorno, C. Lu (1974)
Single-loop feedback-stabilization of linear multivariable dynamical plantsAutom., 10
V. Blondel, M. Gevers (1993)
Simultaneous stabilizability of three linear systems is rationally undecidableMathematics of Control, Signals and Systems, 6
We consider the simultaneous stabilization problem for second-order linear scalar stationary plants and obtain an easy-to-verify necessary condition for simultaneous stabilization as well as a sufficient condition with a constructive algorithm for designing a stabilizing controller. The problem of extending a set of simultaneously stabilizable plants is considered as well. To solve these problems, we use an approach based on the consideration of parametric spaces of polynomials and transfer functions and on a method for finding the stability radii of the polynomials.
Differential Equations – Springer Journals
Published: Jul 19, 2008
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