Preservation of exponential stability for linear non-autonomous functional differential systems

DOI10.1016/j.automatica.2010.09.007zbMath1214.34060OpenAlexW2135678437MaRDI QIDQ624959

Leonid Berezansky, Elena Braverman

Publication date: 11 February 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2010.09.007

zbMATH Keywords

exponential stabilitydistributed delaysystems with time delays

Mathematics Subject Classification ID

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

Related Items (3)

Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation ⋮ Rectifiable and nonrectifiable solution curves of half-linear differential systems ⋮ New stability conditions for linear differential equations with several delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Growth estimates and asymptotic stability for a class of differential- delay equation having time-varying delay
• Ordinary and delay differential equations
• Preservation of stability in delay equations under delay perturbations
• On generalized Wazewski and Lozinskii inequalities for semilinear abstract differential-delay equations
• Stability criterion for linear systems with nonlinear delayed perturbations
• Introduction to functional differential equations
• Preservation of the exponential stability under perturbations of linear delay impulsive differential equations
• Stability of semilinear delay equations with positive solutions
• Stability of perturbed systems with time-varying delays
• Uniform asymptotic stability for perturbed neutral delay differential equations
• Stability of functional differential equations with perturbed lags
• Differential equations: Stability, oscillations, time lags
• Fixed points, stability, and harmless perturbations
• Robust stability for time-delay systems: the edge theorem and graphical tests
• Robust stability of delay dependence for linear uncertain systems
• Robust stability of time-delay systems with an uncertain time-delay constant
• On the stability of linear systems with uncertain delay
• Stability of Systems With Uncertain Delays: A New “Complete” Lyapunov–Krasovskii Functional
• Delay-Independent Stability Conditions for Time-Varying Nonlinear Uncertain Systems
• Sufficient conditions for stability of linear differential equations with distributed delay

This page was built for publication: Preservation of exponential stability for linear non-autonomous functional differential systems