Kybernetika 30 no. 5, 525-536, 1994

On sufficient conditions for the stability of dynamic interval systems

Karel Sladký


In this note sufficient conditions for the stability of continuous- and discrete-time dynamic interval systems are investigated. In particular, we focus our attention on stability conditions based on the extensions of Gershgorin's theorem, i. e. Gershgorin's theorem is applied after some similarity transformation, cf. Argoun(1986), Chen(1992) and Yau(1989). We show that the tests on stability and stability margins of dynamic interval systems suggested in Chen(1992) and in Yau(1989) can be considerably improved.


93D09, 93C99, 93C55