Robust finite-time stability of linear differential-algebraic delay equations

DOI10.1016/j.laa.2015.08.036zbMath1329.34120OpenAlexW2173501467MaRDI QIDQ890557

N. H. Muoi, Vu Ngoc Phat, Mikhail Valer'yanovich Bulatov

Publication date: 10 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.08.036

zbMATH Keywords

time delayrobustnesslinear matrix inequalitydifferential-algebraic equationfinite-time stability

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Implicit functional-differential equations (34K32)

Related Items

Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees ⋮ Robust finite-time stability of singular nonlinear systems with interval time-varying delay ⋮ Finite time stability of semilinear delay differential equations ⋮ Finite-time stability analysis: a tutorial survey ⋮ Representation of solutions and finite time stability for delay differential systems with impulsive effects ⋮ Positivity and stability analysis for linear implicit difference delay equations ⋮ Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain ⋮ Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay

Uses Software

• LMI toolbox

Cites Work

• Finite-time stabilization of impulsive dynamical linear systems
• LMI approach to exponential stability of linear systems with interval time-varying delays
• Finite-time stability and stabilization of time-delay systems
• Stability analysis of positive descriptor systems
• Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions
• Exponential stability of singular systems with multiple time-varying delays
• Singular control systems
• Delay-differential-algebraic equations in control theory
• Finite-time stabilization via dynamic output feedback
• Linear Matrix Inequalities in System and Control Theory
• Robust stability and stabilization for singular systems with state delay and parameter uncertainty
• Stability of time-delay systems