Matrix measure and application to stability of matrices and interval dynamical systems.
Zahreddine, Ziad (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Upper bounds for the abscissa of stability of a stable matrix”
Matrix measure and application to stability of matrices and interval dynamical systems.
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We give detailed discussion of a procedure for determining the robust -stability of a real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.
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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.