New robustness bounds for neutral type delay systems via functionals with prescribed derivative

DOI10.1016/j.aml.2017.07.009zbMath1375.93093OpenAlexW2742785500MaRDI QIDQ1680008

Irina V. Alexandrova

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.07.009

zbMATH Keywords

robust stabilityLyapunov matrixnorm-bounded uncertaintiesLyapunov-Krasovskii functionalsneutral type time delay systems

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Robust stability (93D09) Neutral functional-differential equations (34K40) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

On the robustness and estimation of the attraction region for a class of nonlinear time delay systems ⋮ Robust stability analysis for linear systems with distributed delays: A time‐domain approach ⋮ Vladimir Kharitonov: Achievements in research ⋮ Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type ⋮ Stability of neutral type delay systems: a joint Lyapunov-Krasovskii and Razumikhin approach ⋮ Lyapunov matrices for neutral time-delay systems with exponential kernel

Cites Work

• A Liapunov functional for a matrix neutral difference-differential equation with one delay
• Time-delay systems. Lyapunov functionals and matrices
• Lyapunov-Krasovskii functionals for scalar neutral type time delay equations
• Introduction to functional differential equations
• Delay effects on stability. A robust control approach
• Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
• On delay-dependent stability for linear neutral systems
• Introduction to time-delay systems. Analysis and control
• Robust stability of neutral systems: a Lyapunov-Krasovskii constructive approach
• On robust stability of linear neutral systems with time-varying delays
• Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case

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