On improved delay-dependent stability criterion of certain neutral differential equations

DOI10.1016/j.amc.2007.09.031zbMath1146.34328OpenAlexW2033104357MaRDI QIDQ924429

O. M. Kwon, Juhyun Park

Publication date: 16 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.031

zbMATH Keywords

asymptotic stabilityLyapunov methodLMIneutral equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

Related Items (13)

New delay-range-dependent exponential stability criteria for certain neutral differential equations with interval discrete and distributed time-varying delays ⋮ Improved global robust stability of interval delayed neural networks via split interval: generalizations ⋮ New LMI-based criteria for global robust stability of delayed neural networks ⋮ Exponential stability of certain neutral differential equations ⋮ Some improved criteria on exponential stability of neutral differential equation ⋮ Unnamed Item ⋮ Global existence and Mann iterative algorithms of positive solutions for first order nonlinear neutral delay differential equations ⋮ On simple stability criteria for nonlinear neutral systems with multiple time delays ⋮ Note on exponential stability of certain nonlinear differential systems with time-varying delays ⋮ Globally exponential stability of a certain neutral differential equation with time-varying delays ⋮ Stability criteria for uncertain stochastic dynamic systems with time-varying delays ⋮ Modified criteria for global robust stability of interval delayed neural networks ⋮ Unnamed Item

Uses Software

• LMI toolbox

Cites Work

• Global Hopf-bifurcation in a neural netlet
• Introduction to functional differential equations
• Nonoscillation, oscillation and convergence of a class of neutral equations
• Delay-dependent criterion for asymptotic stability of a class of neutral equations.
• Stability analysis of certain nonlinear differential equation
• Linear Matrix Inequalities in System and Control Theory
• Asymptotic stability of differential systems of neutral type

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