Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems
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Publication:5859522
DOI10.1137/19M1238502zbMath1461.93240arXiv1901.03747MaRDI QIDQ5859522
Publication date: 16 April 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.03747
nonlinear systemsinfinite-dimensional systemsinput-to-state stabilitysmall-gain theoremsinterconnected systems
Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15) Networked control (93B70)
Related Items (4)
The ISS framework for time-delay systems: a survey ⋮ A Lyapunov-Based Small-Gain Theory for Infinite Networks via Infinite-Dimensional Gain Operators ⋮ Nonlinear small-gain theorems for input-to-state stability of infinite interconnections ⋮ Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances
Cites Work
- Unnamed Item
- Unnamed Item
- ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
- Well-posed systems -- the LTI case and beyond
- Stability and stabilization of nonlinear systems.
- Strict Lyapunov functions for semilinear parabolic partial differential equations
- On characterizations of the input-to-state stability property
- Input-to-state stability for PDEs
- Control schemes for stable teleoperation with communication delay based on IOS small gain theorem
- Local input-to-state stability: characterizations and counterexamples
- Monotone inequalities, dynamical systems, and paths in the positive orthant of Euclidean \(n\)-space
- Small-gain stability analysis of certain hyperbolic-parabolic PDE loops
- Strong input-to-state stability for infinite-dimensional linear systems
- Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations
- On continuity of solutions for parabolic control systems and input-to-state stability
- A nonlinear small-gain theorem for large-scale infinite-dimensional systems
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- A small gain framework for networked cooperative force-reflecting teleoperation
- Weak input-to-state stability: characterizations and counterexamples
- Input-to-state stability of infinite-dimensional control systems
- Infinite-dimensional feedback systems: the circle criterion and input-to-state stability
- An ISS small gain theorem for general networks
- ISS with Respect to Boundary Disturbances for 1-D Parabolic PDEs
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- A vector small-gain theorem for general non-linear control systems
- Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach
- A Small-Gain Theorem for a Wide Class of Feedback Systems with Control Applications
- Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
- Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
- Criteria for Input-to-State Practical Stability
- New characterizations of input-to-state stability
- Smooth stabilization implies coprime factorization
- A Nonlinear Small-Gain Theorem for Large-Scale Time Delay Systems
- 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
- A De Giorgi Iteration-Based Approach for the Establishment of ISS Properties for Burgers’ Equation With Boundary and In-domain Disturbances
- Small-Gain-Based Boundary Feedback Design for Global Exponential Stabilization of One-Dimensional Semilinear Parabolic PDEs
- Characterizations of input-to-state stability for infinite-dimensional systems
- Robust nonlinear control design. State-space and Lyapunov techniques
- Nonlinear observers: A circle criterion design and robustness analysis
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