Stability analysis of linear dynamical systems with saturation nonlinearities and a short time delay

DOI10.1016/J.PHYSLETA.2008.03.015zbMath1220.93065OpenAlexW2080614793MaRDI QIDQ637943

Juan-Miguel Gracia

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.03.015

zbMATH Keywords

time delayPadé approximationsaturation nonlinearitysingular perturbation dynamical systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Padé approximation (41A21) Singular perturbations of ordinary differential equations (34D15)

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Cites Work

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• Robust stability test for dynamic systems with short delays by using Padé approximation
• Dynamical feedback compensator for uncertain time-delay systems containing saturating actuator
• Further results on the stabilization of time delay systems containing saturating actuators
• Model reduction of delay systems using Pade approximants
• Frequency sweeping tests for stability independent of delay
• Robust stabilization for uncertain time-delay systems containing saturating actuators
• Stability of Linear Systems With Interval Time Delays Excluding Zero
• Stability analysis of linear time-delay systems subject to input saturation
• Control systems with actuator saturation: analysis and design

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