The stability cone for a delay differential matrix equation

DOI10.1016/j.aml.2010.12.020zbMath1229.34114OpenAlexW2092148914WikidataQ115360891 ScholiaQ115360891MaRDI QIDQ628281

Juan-Miguel Gracia

Publication date: 10 March 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.020

zbMATH Keywords

stabilitydelay equationsimultaneous triangularization

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06)

Related Items (17)

On the stability of the Cartesian product of a neural ring and an arbitrary neural network ⋮ On the solvability on the negative semi-axis of an autonomous differential equation with delay ⋮ Explicit general solution of planar linear discrete systems with constant coefficients and weak delays ⋮ The stability cone for a difference matrix equation with two delays ⋮ Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay ⋮ Delay-dependent stability switches in fractional differential equations ⋮ On factorization of the characteristic quasipolynomial of a system of linear differential equations with delay ⋮ Unnamed Item ⋮ The breaking of a delayed ring neural network contributes to stability: the rule and exceptions ⋮ General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions ⋮ Fractional differential equations with a constant delay: stability and asymptotics of solutions ⋮ The stability cone for a matrix delay difference equation ⋮ Exact versus discretized stability regions for a linear delay differential equation ⋮ On asymptotic stability of a class of time–delay systems ⋮ Solvability of inhomogeneous autonomous differential equation with aftereffect on the negative semi-axis ⋮ Unnamed Item ⋮ On stabilization of unstable steady states of autonomous ordinary differential equations via delayed feedback controls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone
• Stability of equations with delay
• Simple stability criteria for single and composite linear systems with time delays
• Frequency sweeping tests for stability independent of delay

This page was built for publication: The stability cone for a delay differential matrix equation