Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel

DOI10.1080/00207179.2017.1390261zbMath1416.93166OpenAlexW2766536121MaRDI QIDQ5382993

A. N. Aliseyko

Publication date: 19 June 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2017.1390261

zbMATH Keywords

time-delay systemLyapunov matrixLyapunov-Krasovskii functional

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Stabilisation of distributed time-delay systems: a smoothed spectral abscissa optimisation approach ⋮ A finite Lyapunov matrix-based stability criterion for linear delay systems via piecewise linear approximation ⋮ Vladimir Kharitonov: Achievements in research ⋮ Continuous dependence of Lyapunov matrices with respect to perturbations for linear delay systems ⋮ A new stability criterion and its application to robust stability analysis for linear systems with distributed delays

Cites Work

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• Critical frequencies and parameters for linear delay systems: a Lyapunov matrix approach
• Linear quadratic suboptimal control for time delays systems
• An improved stability criterion for systems with distributed delays
• Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation
• Quadratic liapunov functionals for systems with delay

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