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On the D-stability and additive D-stability of matrices and Svicobians
Authors:A A Kosov
Institution:1.Institute of System Dynamics and Control Theory,Irkutsk,Russia
Abstract:We improve the available necessary conditions and sufficient conditions for the Dstability and additive D-stability of matrices. We define these dynamical properties with respect to a finite parallelepiped and propose an algorithm for checking them. For a particular class of matrices called Svicobians, we obtain some constructive necessary and sufficient conditions for Dstabilizability, D-stability, and additive D-stability.
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