Stability of matrices with sufficiently strong negative-dominant-diagonal submatrices

H.J. Nieuwenhuis, L. Schoonbeek

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A well-known sufficient condition for stability of a system of linear first-order differential equations is that the matrix of the homogeneous dynamics has a negative dominant diagonal. However, this condition cannot be applied to systems of second-order differential equations. In this paper we introduce the concept of a (negative) dominant diagonal with a given strength factor. Using this, we present stability theorems which show that second-order systems are stable if the matrix of the homogeneous dynamics has submatrices with a sufficiently strong negative dominant diagonal. (C) Elsevier Science Inc., 1997.

Original languageEnglish
Pages (from-to)195-217
Number of pages23
JournalLinear Algebra and Its Applications
Publication statusPublished - Jun-1997



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