Stability of discontinuous homogeneous nonlinear sampled-data systems

DOI10.1016/j.automatica.2019.06.013zbMath1429.93264OpenAlexW2953739163WikidataQ127576638 ScholiaQ127576638MaRDI QIDQ2280868

Emmanuel Bernuau, Patrick Coirault, Emmanuel Moulay

Publication date: 19 December 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2019.06.013

zbMATH Keywords

differential inclusionsLyapunov stabilityhomogeneityLyapunov functionssampled-data systems

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Sampled-data control/observation systems (93C57)

Related Items (2)

Robustness of sampled-data homogeneous systems ⋮ A novel fixed-time stability of nonlinear impulsive systems: a two-stage comparison principle method

Cites Work

• Unnamed Item
• A novel stability analysis of linear systems under asynchronous samplings
• Recent developments on the stability of systems with aperiodic sampling: an overview
• Robustness of nonlinear systems with respect to delay and sampling of the controls
• On characterizations of the input-to-state stability property
• Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
• Hypoelliptic differential operators and nilpotent groups
• Stability of homogeneous nonlinear systems with sampled-data inputs
• Advances in variable structure systems and sliding mode control -- theory and applications
• Networked control systems.
• Stability analysis of systems with aperiodic sample-and-hold devices
• Stability analysis of networked control systems: a sum of squares approach
• Homogeneous high order sliding mode design: a Lyapunov approach
• Sampled-data sliding mode observer for robust fault reconstruction: a time-delay approach
• Geometric homogeneity with applications to finite-time stability
• Nilpotent and High-Order Approximations of Vector Field Systems
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems
• Stability and Stabilization of Homogeneous Systems Depending on a Parameter
• Output Feedback Sliding Mode Control for Sampled-Data Systems
• A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
• Input–Output Stability Properties of Networked Control Systems
• Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach
• Liapunov functions and stability in control theory

This page was built for publication: Stability of discontinuous homogeneous nonlinear sampled-data systems