Sign properties of Metzler matrices with applications
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Publication:501264
DOI10.1016/j.laa.2016.11.011zbMath1355.15025arXiv1512.07043OpenAlexW2962855705MaRDI QIDQ501264
Publication date: 29 December 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.07043
Markov processesLyapunov functionsdirected graphinversepositive systemsHurwitz stabilityMetzler block matricesMetzler sign-matricessign-stability
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20)
Related Items (13)
Stability of bounded subsets of Metzler sparse matrix cones ⋮ Upper Hessenberg and Toeplitz Bohemians ⋮ Global product structure for a space of special matrices ⋮ Maximal Acyclic Subgraphs and Closest Stable Matrices ⋮ Exponential stability for systems of delay differential equations with block matrices ⋮ Graph-Theoretic Stability Conditions for Metzler Matrices and Monotone Systems ⋮ Improvement of disease dynamics monitoring through systematic screening and patchy structure: application to \textit{Neissera meningitidis} ⋮ Sign-stability of positive Markov jump linear systems ⋮ Stability and performance analysis of linear positive systems with delays using input–output methods ⋮ Ergodicity Analysis and Antithetic Integral Control of a Class of Stochastic Reaction Networks with Delays ⋮ Stabilizing the Metzler matrices with applications to dynamical systems ⋮ Upper Hessenberg and Toeplitz Bohemian matrix sequences: a note on their asymptotical eigenvalues and singular values ⋮ Inner Bohemian inverses
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