On stability of integral delay systems

DOI10.1016/J.AMC.2010.08.058zbMath1221.45012OpenAlexW2071203080MaRDI QIDQ613311

Daniel Melchor-Aguilar

Publication date: 20 December 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.058

zbMATH Keywords

exponential stabilityLyapunov-Krasovskii functionalsintegral delay systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10)

Related Items (18)

Frequency-domain stability criteria for SISO and MIMO nonlinear feedback systems with constant and variable time-delays ⋮ Exponential stability analysis of integral delay systems with multiple exponential kernels ⋮ Exponential stability of integral time-varying delay system ⋮ The limits of solutions of a linear delay integral equation ⋮ Critical parameters for a class of integral difference equations ⋮ Necessary and sufficient stability conditions for integral delay systems ⋮ Complete type Lyapunov functionals for integral delay systems with multiple delays ⋮ Exponential stability and asymptotic periodic solutions of linear integral equations with two delays ⋮ Exponential stability of linear continuous time difference systems with multiple delays ⋮ Exponential stability of some linear continuous time difference systems ⋮ Pseudo-predictor feedback stabilization of linear systems with time-varying input delays ⋮ On moment exponential stability of Markovian switching integral delay systems ⋮ Further results on exponential stability of linear continuous time difference systems ⋮ New results on robust exponential stability of integral delay systems ⋮ Robust Stability of Integral Delay Systems with Exponential Kernels ⋮ Critical parameters of integral delay systems ⋮ On the Lyapunov matrices for integral delay systems ⋮ A note on stability of functional difference equations

Cites Work

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• Introduction to functional differential equations
• Delay effects on stability. A robust control approach
• On delay-dependent stability conditions
• On delay-dependent stability conditions for time-varying systems
• On stability of a class of positive linear functional difference equations
• Stability conditions for integral delay systems
• Finite spectrum assignment problem for systems with delays
• Additional dynamics in transformed time-delay systems
• Strong stabilization of neutral functional differential equations
• Additional dynamics for general class of time-delay systems
• Stability of time-delay systems

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