Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems

DOI10.1080/10236190600703239zbMath1128.93021OpenAlexW2101664720MaRDI QIDQ5489340

Iasson Karafyllis, Stelios Kotsios

Publication date: 25 September 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190600703239

zbMATH Keywords

Lyapunov functionsDiscrete-time systemsStabilizationClosed-loop system

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55)

Related Items (5)

Robust inverse optimal control for discrete-time nonlinear system stabilization ⋮ Approximate model predictive control laws for constrained nonlinear discrete-time systems: analysis and offline design ⋮ The model matching problem for a class of polynomial non-linear discrete input–output systems with cross-products. An algorithmic approach ⋮ Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems ⋮ Robust predictor feedback for discrete-time systems with input delays

Cites Work

• Unnamed Item
• Unnamed Item
• A universal formula for stabilization with bounded controls
• Asymptotic behaviour of nonautonomous difference inclusions
• Comments on integral variants of ISS
• Sufficient Lyapunov-like conditions for stabilization
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• On uniform boundedness of parameterized discrete-time systems with decaying inputs: applications to cascades
• Discrete-time asymptotic controllability implies smooth control-Lyapunov function
• Smooth Lyapunov functions and robustness of stability for difference inclusions
• The non-uniform in time small-gain theorem for a wide class of control systems with outputs
• Stabilization with relaxed controls
• Stabilizability of Discrete-Time Nonlinear Systems
• The input-to-state stability condition and global stabilization of discrete-time systems
• A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization
• Continuous control-Lyapunov functions for asymptotically controllable time-varying systems
• Stabilizability and dead-beat controllers for two classes of Wiener-Hammerstein models
• Weak Converse Lyapunov Theorems and Control-Lyapunov Functions
• Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems
• Inverse Optimality in Robust Stabilization
• On Uniform Asymptotic Stability of Time-Varying Parameterized Discrete-Time Cascades
• A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
• Non-uniform in time robust global asymptotic output stability for discrete-time systems
• Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems
• Output Feedback Stabilization of Discrete-Time Control Systems
• Set-valued analysis
• A converse Lyapunov theorem for discrete-time systems with disturbances

This page was built for publication: Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems