The converging-input converging-state property for Lur'e systems

DOI10.1007/s00498-016-0184-3zbMath1360.93628OpenAlexW2573051332WikidataQ56527111 ScholiaQ56527111MaRDI QIDQ525055

Adam Bill, Chris Guiver, Hartmut Logemann, Stuart Townley

Publication date: 28 April 2017

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-016-0184-3

zbMATH Keywords

absolute stabilityinput-to-state stabilitycircle criterionLur'e systemsconverging-input converging-state propertynon-negative systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Semi-global persistence and stability for a class of forced discrete-time population models ⋮ Small-gain stability theorems for positive Lur'e inclusions ⋮ Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties ⋮ Incremental input-to-state stability for Lur'e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing ⋮ A circle criterion for strong integral input-to-state stability ⋮ Semi-global incremental input-to-state stability of discrete-time Lur'e systems ⋮ Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems

Cites Work

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• Persistence and global stability for a class of discrete time structured population models
• A non-quadratic criterion for stability of forced oscillations
• A compendium of comparison function results
• Feedback control systems analysis of density dependent population dynamics
• Stability radius for structured perturbations and the algebraic Riccati equation
• Input to state stability and allied system properties
• A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections
• Uniform output regulation of nonlinear systems. A convergent dynamics approach.
• Essays on the absolute stability theory
• Input-to-state stability of Lur'e systems
• Comments on integral variants of ISS
• Destabilization by output feedback
• An introduction to partial differential equations
• Mathematical biology. Vol. 1: An introduction.
• Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback
• Small-gain theorem for ISS systems and applications
• Input-to-state stability for a class of Lur'e systems
• Nonautonomous systems: Asymptotic behaviour and weak invariance principles.
• 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
• Well-defined steady-state response does not imply CICS
• A small-gain theorem for almost global convergence of monotone systems
• An ISS small gain theorem for general networks
• Stability of NonNegative Lur'e Systems
• Mathematical Systems Theory I
• Input-to-State Stability of Differential Inclusions with Applications to Hysteretic and Quantized Feedback Systems
• Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. Part I: Continuous‐time theory
• Smooth stabilization implies coprime factorization
• A remark on the converging-input converging-state property
• A Lyapunov approach to incremental stability properties
• Steady-state errors in nonlinear control systems
• The Circle Criterion and Input-to-State Stability

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