Polyhedral estimates of the region of attraction of the origin of linear systems under aperiodic sampling and input saturation

DOI10.1016/j.automatica.2022.110490zbMath1498.93447OpenAlexW4287509532WikidataQ114204745 ScholiaQ114204745MaRDI QIDQ2165996

Daniel Denardi Huff, Mirko Fiacchini, Joao M. jun. Gomes da Silva

Publication date: 23 August 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2022.110490

zbMATH Keywords

stability analysissampled-data systemsinput saturationpolyhedral setsaperiodic samplingconvex embeddings

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Sampled-data control/observation systems (93C57)

Cites Work

• Wirtinger's inequality and Lyapunov-based sampled-data stabilization
• A novel stability analysis of linear systems under asynchronous samplings
• Recent developments on the stability of systems with aperiodic sampling: an overview
• A refined input delay approach to sampled-data control
• Taking into account period variations and actuator saturation in sampled-data systems
• \((A,B)\)-invariant polyhedral sets of linear discrete-time systems
• Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints
• Exponential stability of impulsive systems with application to uncertain sampled-data systems
• A new concept of invariance for saturated systems
• Constructive Necessary and Sufficient Condition for the Stability of Quasi-Periodic Linear Impulsive Systems
• On efficient computation of low-complexity controlled invariant sets for uncertain linear systems
• A general result on the stabilization of linear systems using bounded controls
• Polyhedral regions of local stability for linear discrete-time systems with saturating controls
• Stability and Stabilization of Linear Systems with Saturating Actuators
• Stability of Networked Control Systems With Uncertain Time-Varying Delays
• A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices
• Stability and Stabilization of Aperiodic Sampled-Data Systems Subject to Control Input Saturation: A Set Invariant Approach
• Discrete and Intersample Analysis of Systems With Aperiodic Sampling
• On Stability of Systems With Aperiodic Sampling Devices
• A predictive control scheme for systems with variable time-delay
• Set-valued analysis
• Set-theoretic methods in control

This page was built for publication: Polyhedral estimates of the region of attraction of the origin of linear systems under aperiodic sampling and input saturation