Asymptotic exponential cones of Metzler matrices and their use in the solution of an algebraic problem

DOI10.1016/j.laa.2009.10.012zbMath1207.15038OpenAlexW2067329304MaRDI QIDQ846329

Paolo Santesso, Valcher, Maria Elena

Publication date: 9 February 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.012

zbMATH Keywords

directed graphFrobenius normal formMetzler matrixsimplicial coneexponential matrixasymptotic exponential lawboundary of a conecommunicating classescontinuous-time positive systemzero pattern

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Positive matrices and their generalizations; cones of matrices (15B48) Matrix exponential and similar functions of matrices (15A16)

Related Items (2)

On asymptotic properties of matrix semigroups with an invariant cone ⋮ High-order maximum principles for the stability analysis of positive bilinear control systems

Cites Work

• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
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• On Nonnegative Solutions of Matrix Equations
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• On the Stability of Switched Positive Linear Systems
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
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