Diagonal stability of matrices with cyclic structure and the secant condition

DOI10.1016/j.sysconle.2008.11.009zbMath1159.93022OpenAlexW2012856823MaRDI QIDQ1015022

Harald K. Wimmer

Publication date: 30 April 2009

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.11.009

zbMATH Keywords

matrix inequalitiesdiagonal stabilitysmall gain theoremsecant conditionmatrices with cyclic structure

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Diagonal Riccati stability and the Hadamard product ⋮ Compound matrices in systems and control theory: a tutorial ⋮ Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices ⋮ Stability of matrix polytopes with a dominant vertex and implications for system dynamics ⋮ Unifying Matrix Stability Concepts with a View to Applications

Cites Work

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• A passivity-based stability criterion for a class of biochemical reaction networks
• The secant condition for instability in biochemical feedback control. I: The role of cooperativity and saturability
• Matrix-theoretic conditions for the realizability of sliding manifolds
• Diagonal stability of a class of cyclic systems and its connection with the secant criterion
• Passivity gains and the ``secant condition for stability
• An ISS small gain theorem for general networks
• Evolutionary Games and Population Dynamics
• Robust diagonal stabilization: an LMI approach
• A Passivity-Based Approach to Stability of Spatially Distributed Systems With a Cyclic Interconnection Structure

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