Block matrices and stability theory

In: Tatra Mountains Mathematical Publications, vol. 38, no. 4

Fernando Martins - Edgar Pereira

Detaily:

Rok, strany: 2007, 147 - 162

Kľúčové slová:

block companion matrix, block Hermite matrix, block Hurwitz matrix, block Routh matrix, block Schwarz matrix, matrix polynomials, differential matrix equations, Lyapunov matrix equation

Full text

O článku:

The relations between matrices and differential equations in the stability theory are studied. Generalizations to block matrices are done. Sufficient conditions for the stability of matrix differential equations by means of Lyapunov matrix equation are obtained. The block versions of the classical Hermite, Routh, Hurwitz and Schwarz matrices are presented.

Ako citovať:

ISO 690:

Martins, F., Pereira, E. 2007. Block matrices and stability theory. In Tatra Mountains Mathematical Publications, vol. 38, no.4, pp. 147-162. 1210-3195.

APA:

Martins, F., Pereira, E. (2007). Block matrices and stability theory. Tatra Mountains Mathematical Publications, 38(4), 147-162. 1210-3195.