The $D$-stability problem for $4\times 4$ real matrices

Serkan T. Impram, Russell Johnson, Raffaella Pavani

S.T. Impram, R. Johnson, Dipartimento di Sistemi e Informatica, Universita di Firenze, Italy

R. Pavani, Dipartimento di Matematica, Politecnico di Milano, Italy

E-mail. johnson@ing.unifi

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

AMSclassification. 15A04; 34D15; 65F15.

Keywords. Diagonal stability, Cauchy indices.