Diagonal stability of a class of cyclic systems and its connection with the secant criterion

From MaRDI portal
Publication:2466052

DOI10.1016/j.automatica.2006.04.009zbMath1132.39002OpenAlexW2139707868MaRDI QIDQ2466052

Eduardo D. Sontag, Arcak, Murat

Publication date: 11 January 2008

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.04.009




Related Items

A rolled-off passivity theoremQualitative Behavior of a Metabolic Pathway with Hybrid FeedbackOn diagonal common quadratic Lyapunov functions for sets of homogeneous cooperative systemsA sufficient condition for additive \(D\)-stability and application to reaction-diffusion modelsSign patterns for chemical reaction networksAN ATLAS OF ROBUST, STABLE, HIGH-DIMENSIONAL LIMIT CYCLESCommon diagonal solutions to the Lyapunov inequalities for interval systemsAsynchronously finite-time control of discrete impulsive switched positive time-delay systemsStability of network-based feedback interconnectionDiagonal Riccati stability and the Hadamard productModel reduction of dominant feedback systemsGlobal product structure for a space of special matricesOn linear parameter varying control of time‐delayed positive systemsCompound matrices in systems and control theory: a tutorialEssentially negative news about positive systemsCommon diagonal Lyapunov function for third order linear switched systemGlobal asymptotic stability in a model of networksEquilibrium-independent passivity: a new definition and numerical certificationEquilibria and stability of a class of positive feedback loops. Mathematical analysis and its application to caspase-dependent apoptosisLinear time-variant systems: Lyapunov functions and invariant sets defined by Hölder normsStabilization and synchronization for a heterogeneous multi-agent system via harmonic controlSufficient conditions for Schur and Hurwitz diagonal stability of complex interval matricesOn finite-time stability and stabilization of positive systems with impulsesAnalysis of autocatalytic networks in biologyModel decomposition and reduction tools for large-scale networks in systems biologyExistence criteria of periodic oscillations in cyclic gene regulatory networksCertifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systemsStability and Robustness Analysis of a Class of Cyclic Biological SystemsSecant and Popov-like conditions in power network stabilityEffect of model selection on prediction of periodic behavior in gene regulatory networksRandom Dynamical Systems with InputsGraphical methods for analysing feedback in biological networks – A surveyOn linear co-positive Lyapunov functions for sets of linear positive systemsStability analysis of quasi-polynomial dynamical systems with applications to biological network modelsStability certification of large scale stochastic systems using dissipativityStability of matrix polytopes with a dominant vertex and implications for system dynamicsPassivity-based Stability of Interconnection StructuresPassivity gains and the ``secant condition for stabilityMolecular systems biology and controlHomotopy methods for counting reaction network equilibriaDiagonal stability of matrices with cyclic structure and the secant conditionGlobal asymptotic stability of the Goodwin system with repressionOn a theorem of Redheffer concerning diagonal stabilityLOCALIZED OSCILLATIONS IN DIFFUSIVELY COUPLED CYCLIC NEGATIVE FEEDBACK SYSTEMSUnifying Matrix Stability Concepts with a View to ApplicationsA characterisation of common diagonal stability over cones



Cites Work