Three types of matrix stability

From MaRDI portal
Publication:1245878

DOI10.1016/0024-3795(78)90021-6zbMath0376.15007OpenAlexW2038572450MaRDI QIDQ1245878

G. W. Cross

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90021-6




Related Items (74)

Generalization of the concept of diagonal dominance with applications to matrix \(D\)-stabilityVector-borne disinformation during disasters and emergenciesOn common diagonal Lyapunov solutionsAn algorithm for rescaling a matrix positive definiteGlobal stability and periodic orbits for two-patch predator-prey diffusion-delay modelsScalings of vector spaces and the uniqueness of lyapunov scaling factorsCommon diagonal solutions to the Lyapunov inequalities for interval systemsHopf bifurcations in competitive three-dimensional Lotka–Volterra systemsA Gauss-Seidel type solver for the fast computation of input-constrained control systemsStability ofm-matrix productsMore on the uniqueness of the Lyapunov scaling factorsInside the D-stable matricesMultiplicative perturbations of stable and convergent operatorsBifurcation of positive solutions for a three-species food chain model with diffusionA framework for multivariable algebraic loops in linear anti-windup implementationsOn the trace of the Coxeter polynomial of an algebraDo prey handling predators really matter: subtle effects of a Crowley-Martin functional responseGeneral conditions for Turing and wave instabilities in reaction-diffusion systemsPursuit-evasion wave trains in prey-predator systems with diffusionally coupled delaysNovel versions of \(D\)-stability in matrices provide new insights into ODE dynamicsSome new results related to -stabilityThe global stability and optimal control of the COVID-19 epidemic modelQuiescence, excitability, and heterogeneity in ecological modelsSufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action SystemsThe logistic equation with a diffusionally coupled delayGlobal asymptotic stability in a model of networksCharacterizations of classes of stable matrices.Cones of real positive semidefinite matrices associated with matrix stabilityGlobal stability analysis of epidemiological models based on Volterra-Lyapunov stable matricesBifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equationsOn Lyapunov scaling factors of real symmetric matricesOn common \(\alpha\)-scalar Lyapunov solutionsThe morphostatic limit for a model of skeletal pattern formation in the vertebrate limbSufficient conditions for Schur and Hurwitz diagonal stability of complex interval matricesPattern dynamics of a spatial epidemic model with time delayCertifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systemsThe interior and closure of strongly stable matricesOn the global stability of a generalized cholera epidemiological modelLyapunov functions for investigating stability properties of a fractional-order computer virus propagation modelRecent directions in matrix stabilityQuiescent phases and stabilityOn the asymptotic stability of solutions of nonlinear systems with delayGlobal stability for cholera epidemic modelsMatrix Diagonal Stability and Its ImplicationsThe ``destabilizing effect of cannibalism in a spatially explicit three-species age structured predator-prey modelLinear stability of delayed reaction-diffusion systemsSome remarks on matrix stability with application to Turing instabilityStronger-than-Lyapunov notions of matrix stability, or how ``flowers help solve problems in mathematical ecologyOn the uniqueness of the Lyapunov scaling factorsEffect of time delay on pattern dynamics in a spatial epidemic modelComplex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stabilityExclusion and multiplicity for stable communities in Lotka-Volterra systemsOn the Schur complement and the LU-factorization of a matrixConditions of D-Stability of the Fifth-Order MatricesMatrix-theoretic conditions for the realizability of sliding manifoldsMathematical modeling and nonstandard finite difference scheme analysis for the environmental and spillover transmissions of Avian Influenza A modelUnifying Matrix Stability Concepts with a View to ApplicationsOn two classes of matrices with positive diagonal solutions to the Lyapunov equationSome bounds for determinants of relatively \(D\)-stable matricesCharacterization of acyclic D-stable matricesOn cones and stabilityOn Schur \(D\)-stable matricesPattern Formation and Transition to Chaos in a Chemotaxis Model of Acute InflammationTuring instabilities in prey-predator systems with dormancy of predatorsLyapunov diagonal semistability of real H-matricesA characterisation of common diagonal stability over conesVolterra Multipliers IVolterra Multipliers IILinear transformations that preserve certain positivity classes of matricesModel transform and local parameters. Application to instantaneous attractorsStability of acyclic matricesThe problem of generalized \(D\)-stability in unbounded LMI regions and its computational aspectsPositivity of principal minors, sign symmetry and stability.Stability analyses of cellular neural networks with continuous time delay



Cites Work


This page was built for publication: Three types of matrix stability