The ISS framework for time-delay systems: a survey
From MaRDI portal
Publication:6097900
DOI10.1007/s00498-023-00341-wzbMath1521.93162arXiv2206.06167OpenAlexW4282838342MaRDI QIDQ6097900
Yuan Wang, Pierdomenico Pepe, Antoine Chaillet, Iasson Karafyllis
Publication date: 7 June 2023
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.06167
Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Delay control/observation systems (93C43)
Related Items (2)
Growth conditions for global exponential stability and exp-ISS of time-delay systems under point-wise dissipation ⋮ Unnamed Item
Cites Work
- Notions of input to output stability
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong iISS for a class of systems under saturated feedback
- Global output stability for systems described by retarded functional differential equations: Lyapunov characterizations
- Input-to-output stability for systems described by retarded functional differential equations
- Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods
- Linear parameter-varying and time-delay systems. Analysis, observation, filtering \& control
- Strong iISS is preserved under cascade interconnection
- A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals
- Stability and stabilization of nonlinear systems.
- Input to state stability and allied system properties
- On characterizations of the input-to-state stability property
- Delay differential equations: with applications in population dynamics
- A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections
- Time-delay systems. Lyapunov functionals and matrices
- Input-to-state stability for PDEs
- Predictor feedback for delay systems: implementations and approximations
- Existence and stability of solutions of a delay-differential system
- Control schemes for stable teleoperation with communication delay based on IOS small gain theorem
- A Lyapunov--Krasovskii methodology for ISS and iISS of time-delay systems
- Global attractivity, I/O monotone small-gain theorems, and biological delay systems
- Control and estimation of systems with input/output delays.
- On Lyapunov - Krasovskii functionals under Carathéodory conditions
- Local input-to-state stability: characterizations and counterexamples
- Global stabilization of nonlinear cascade systems
- Integral input to state stable systems in cascade
- Delay compensation for nonlinear, adaptive, and PDE systems
- Stability and periodic solutions of ordinary and functional differential equations
- On global uniform asymptotic stability of nonlinear time-varying systems in cascade
- Comments on integral variants of ISS
- Input-to-state stability of PD-controlled robotic systems
- Introduction to functional differential equations
- Stability and stabilization of motion: Research approaches, results, distinctive characteristics
- Delay effects on stability. A robust control approach
- Complete controllability of continuous-time recurrent neural networks
- Further equivalences and semiglobal versions of integral input to state stability
- Limits of stability and stabilization of time-delay systems. A small-gain approach
- Small-gain theorem for ISS systems and applications
- Deterministic and stochastic time delay systems
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- Stabilization in spite of matched unmodeled dynamics and equivalent definition of input-to-state stability
- Nonlinear small-gain theorems for input-to-state stability of infinite interconnections
- Integral input-to-state stable time-delay systems in cascade
- A nonlinear version of Halanay's inequality for the uniform convergence to the origin
- On Lipschitz conditions of infinite dimensional systems
- A circle criterion for strong integral input-to-state stability
- Construction of Lyapunov-Krasovskii functionals for networks of iISS retarded systems in small-gain formulation
- Introduction to time-delay systems. Analysis and control
- Recent results on nonlinear delay control systems. In honor of Miroslav Krstic
- Differential equations: Stability, oscillations, time lags
- Exponential stability for impulsive delay differential equations by Razumikhin method
- Lyapunov conditions for uniform asymptotic output stability and a relaxation of Barbălat's lemma
- Adaptive control of Lipschitz time-delay systems by sigma modification with application to neuronal population dynamics
- Input-Output-to-State Stability
- Nonlinear Control Under Nonconstant Delays
- Converse Lyapunov–Krasovskii theorems for systems described by neutral functional differential equations in Hale's form
- Stability, Control, and Computation for Time-Delay Systems
- Combining iISS and ISS With Respect to Small Inputs: The Strong iISS Property
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- Necessary and sufficient Lyapunov-like conditions for robust nonlinear stabilization
- A vector small-gain theorem for general non-linear control systems
- A Small-Gain Theorem for a Wide Class of Feedback Systems with Control Applications
- DISCRETE-MATURITY STRUCTURED MODEL OF CELL DIFFERENTIATION WITH APPLICATIONS TO ACUTE MYELOGENOUS LEUKEMIA
- A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
- Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
- A characterization of integral input-to-state stability
- Lyapunov Characterizations of Input to Output Stability
- A Unifying Integral ISS Framework for Stability of Nonlinear Cascades
- Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems
- Separation Principles for Input-Output and Integral-Input-to-State Stability
- New characterizations of input-to-state stability
- Smooth stabilization implies coprime factorization
- Changing supply functions in input/state stable systems
- A Nonlinear Small-Gain Theorem for Large-Scale Time Delay Systems
- Input-to-State Stability of Time-Delay Systems: A Link With Exponential Stability
- Necessary and Sufficient Small Gain Conditions for Integral Input-to-State Stable Systems: A Lyapunov Perspective
- Lyapunov--Krasovskii Characterization of the Input-to-State Stability for Switching Retarded Systems
- Non-uniform ISS small-gain theorem for infinite networks
- Vector Extensions of Halanay’s Inequality
- Lyapunov Characterization of Uniform Exponential Stability for Nonlinear Infinite-Dimensional Systems
- Lyapunov–Krasovskii Characterizations of Integral Input-to-State Stability of Delay Systems With Nonstrict Dissipation Rates
- Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems
- Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions
- Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays
- An example of a gas system which can be destabilized by an integrable perturbation
- Examples of GES Systems That can be Driven to Infinity by Arbitrarily Small Additive Decaying Exponentials
- State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
- The Problem of the Absolute Continuity for Lyapunov–Krasovskii Functionals
- Razumikhin-type theorems on exponential stability of impulsive delay systems
- Robust Stability of Networks of iISS Systems: Construction of Sum-Type Lyapunov Functions
- Applied Delay Differential Equations
- Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cell Dynamics with Several Delays
- Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems
- Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems
- Forward completeness, unboundedness observability, and their Lyapunov characterizations
This page was built for publication: The ISS framework for time-delay systems: a survey