Necessary and sufficient conditions for stability of symmetric interval matrices
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 51 (1) , 243-248
- https://doi.org/10.1080/00207179008934060
Abstract
It is shown that a family of symmetric interval matrices is Schur if and only if the vertex matrices are Schur. This result is also applicable to Hurwitz stability and aperiodic properties of linear systems.Keywords
This publication has 7 references indexed in Scilit:
- Counter-example to ‘Sufficient and necessary condition for the asymptotic stability of discrete linear interval systems’International Journal of Control, 1989
- Sufficient and necessary condition for the asymptotic stability of discrete linear interval systemsInternational Journal of Control, 1988
- Convergence property of interval matrices and interval polynomialsInternational Journal of Control, 1987
- A necessary and sufficient condition for the positive-definiteness of interval symmetric matricesInternational Journal of Control, 1986
- Counter-example to a recent result on the stability of interval matrices by S. BialasInternational Journal of Control, 1984
- Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†International Journal of Control, 1984
- A necessary and sufficient condition for the stability of interval matricesInternational Journal of Control, 1983