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A new D-stability area for linear discrete-time systems

Krokavec Dušan, Filasová Anna

Archives of Control Sciences

2019

Vol. 29, No. 1

5--23

The paper addresses the problem of constrained pole placement in discrete-time linear systems. The design conditions are outlined in terms of linear matrix in equalities for the D-stable ellipse region in the complex Z plain. In addition, it is demonstrated that the D-stable circle region formulation is the special case of by this way formulated and solved pole placement problem. The proposed principle is enhanced for discrete-time linear systems with polytopic uncertainties.