On finite‐time stability analysis of homogeneous vector fields with multiplicative perturbations

DOI10.1002/RNC.6330zbMath1528.93193OpenAlexW4292458084WikidataQ114234656 ScholiaQ114234656MaRDI QIDQ6090243

Andrey Polyakov, Denis V. Efimov, Youness Braidiz, Wilfrid Perruquetti

Publication date: 16 December 2023

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

Full work available at URL: https://doi.org/10.1002/rnc.6330

zbMATH Keywords

asymptotic stabilityfinite-time stabilityfixed-time stabilityhomogeneous extension

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20) Finite-time stability (93D40)

Cites Work

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• Finite time stability and stabilization of a class of continuous systems
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Asymptotic stability and smooth Lyapunov functions
• Stability notions and Lyapunov functions for sliding mode control systems
• On homogeneity and its application in sliding mode control
• On finite stability in control systems
• Homogeneity approach to high-order sliding mode design
• Geometric homogeneity with applications to finite-time stability
• On Homogeneous Distributed Parameter Systems
• Sliding mode control design using canonical homogeneous norm
• On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space
• Finite-Time Stability of Continuous Autonomous Systems
• Finite-Time Observers: Application to Secure Communication
• Homogeneous Approximation, Recursive Observer Design, and Output Feedback
• Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
• Liapunov functions and stability in control theory

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