Displaying similar documents to “Matrix measure and application to stability of matrices and interval dynamical systems.”

The D -stability problem for 4 × 4 real matrices

Serkan T. Impram, Russell Johnson, Raffaella Pavani (2005)

Archivum Mathematicum

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We give detailed discussion of a procedure for determining the robust D -stability of a 4 × 4 real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.

On the D -stability problem for real matrices

Russell Johnson, Alberto Tesi (1999)

Bollettino dell'Unione Matematica Italiana

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Vengono discusse delle condizioni sufficienti affinchè una matrice reale A delle dimensioni n × n sia diagonalmente (o D -) stabile. Esse includono delle ipotesi geometriche (condizioni degli ortanti), e un criterio che generalizza un criterio di Carlson. Inoltre si discute la D -stabilità robusta per le matrici reali delle dimensioni 4 × 4

On a criterion of D-stability for P-matrices

Olga Y. Kushel (2016)

Special Matrices

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In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.