Numerical radius for the asymptotic stability of delay differential equations

DOI10.1080/03081087.2016.1273313zbMath1391.34118OpenAlexW2566694786MaRDI QIDQ4603758

Yunkun Chen, Yi-Min Wei

Publication date: 19 February 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1273313

zbMATH Keywords

numerical rangeasymptotic stabilitydelay differential equationsnumerical radiusmatrix norms

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Uses Software

• Chebfun

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Stability analysis of numerical methods for delay differential equations
• Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
• Stability properties of numerical methods for solving delay differential equations
• Numerical stability of the \(\theta\)-methods for systems of differential equations with several delay terms
• Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space
• Geometric computation of the numerical radius of a matrix
• Stability of numerical methods for delay differential equations
• On the numerical radius and its applications
• Further results on stability of \(\dot X(t) = AX(t) + BX(t-\tau{})\)
• Introduction to functional differential equations
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• The numerical range of a nonnegative matrix
• Stability analysis of numerical methods for systems of neutral delay-differential equations
• Computing the numerical radius
• Computing the field of values and pseudospectra using the Lanczos method with continuation
• GP\(_G\)-stability of Runge-Kutta methods for generalized delay differential systems
• Asymptotic and numerical stability of systems of neutral differential equations with many delays
• Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Linear Multistep Methods
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• The Stability of Difference Formulas for Delay Differential Equations
• Simple stability criteria for single and composite linear systems with time delays
• Matrix Completions, Norms, and Hadamard Products
• Numerical Determination of the Field of Values of a General Complex Matrix
• An algorithm for computing the numerical radius
• An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays
• Numerical Methods for Delay Differential Equations
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
• The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded and Neutral Type
• Modification of Mikhaylov Criterion for Neutral Time-Delay Systems
• Algorithms for the computation of the pseudospectral radius and the numerical radius of a matrix
• Stability analysis for delay differential equations with multidelays and numerical examples

This page was built for publication: Numerical radius for the asymptotic stability of delay differential equations