A general theory for matrix root-clustering in subregions of the complex plane

We consider the general problem of root-clustering of a matrix in the complex plane: Let A \in C^{n \times n} and S \subset C . Find the largest class of S and an algebraic criterion which is necessary and sufficient for \lambda_{i}[A] \in S, i=1,2,..., n . We introduce two types of regions which co...

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Veröffentlicht in:	IEEE transactions on automatic control 1981-08, Vol.26 (4), p.853-863
Hauptverfasser:	Gutman, S., Jury, E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic stability Control systems Design methodology Difference equations Differential equations Eigenvalues and eigenfunctions Helium Linear matrix inequalities Linear systems Polynomials
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