Semi-global incremental input-to-state stability of discrete-time Lur'e systems

DOI10.1016/j.sysconle.2019.104593zbMath1433.93119OpenAlexW2998022951WikidataQ126356661 ScholiaQ126356661MaRDI QIDQ2303950

Max E. Gilmore, Chris Guiver, Hartmut Logemann

Publication date: 6 March 2020

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: http://researchrepository.napier.ac.uk/Output/2677252

zbMATH Keywords

absolute stabilitydiscrete-time systemsLur'e systemsincremental stabilityalmost periodicity

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25)

Related Items (3)

Input-to-state stability for switched stochastic nonlinear systems with mode-dependent random impulses ⋮ Unified stability criteria of asynchronous discrete-time impulsive switched delayed systems: bounded admissible edge-dependent average dwell time method ⋮ Incremental input-to-state stability for Lur'e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The converging-input converging-state property for Lur'e systems
• Input to state stability and allied system properties
• Nonlinear small-gain theorems for discrete-time feedback systems and applications
• Stability of higher-order discrete-time Lur'e systems
• Almost periodic functions on semigroups
• Essays on the absolute stability theory
• Input-to-state stability of Lur'e systems
• Anticausal stabilizing solution to discrete reverse-time Riccati equation
• Input-to-state stability for a class of Lur'e systems
• Convergent systems vs. incremental stability
• The matrix-inequality method in the theory of the stability of nonlinear control systems. I: The absolute stability of forced vibrations
• An ISS small gain theorem for general networks
• Mathematical Systems Theory I
• Input-to-State Stability of Discrete-Time Lur'e Systems
• Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems
• Input-to-State Stability of Differential Inclusions with Applications to Hysteretic and Quantized Feedback Systems
• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
• The spectral coefficients of the response of nonlinear systems to asymptotically almost periodic inputs
• Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties
• Smooth stabilization implies coprime factorization
• Nonlinear Systems Analysis
• A Lyapunov approach to incremental stability properties
• The Circle Criterion and Input-to-State Stability
• Input-to-state stability for discrete-time nonlinear systems
• Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma
• A converse Lyapunov theorem for discrete-time systems with disturbances

This page was built for publication: Semi-global incremental input-to-state stability of discrete-time Lur'e systems