In: Tatra Mountains Mathematical Publications, vol. 38, no. 4
Fernando Martins - Edgar Pereira
Details:
Year, pages: 2007, 147 - 162
Keywords:
block companion matrix, block Hermite
matrix, block Hurwitz matrix, block Routh matrix, block Schwarz
matrix, matrix polynomials, differential matrix equations,
Lyapunov matrix equation
About article:
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.
How to cite:
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.