Input-to-state stability for bilinear feedback systems
type: Item
instance of: scholarly article
title: Input-to-state stability for bilinear feedback systems
zbMATH Open document ID: 1544.93677
author: René Hosfeld
author: Birgit Jacob
author: Felix L. Schwenninger
author: Marius Tucsnak
published in: SIAM Journal on Control and Optimization
publication date: 2024-05-29T00:00:00Z
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 7854553
zbMATH Keywords: input-to-state stability
zbMATH Keywords: bilinear systems
zbMATH Keywords: feedback systems
zbMATH Keywords: \(C_0\)-semigroups
zbMATH Keywords: admissibility
MaRDI profile type: Publication
cites work: Q4073917
cites work: Representation and control of infinite dimensional systems
cites work: Q4205326
cites work: A local input-to-state stability result w.r.t. attractors of nonlinear reaction-diffusion equations
cites work: Input-to-state stability of infinite-dimensional control systems
cites work: Input-to-state stability of nonlinear impulsive systems
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Bilinear control systems. Matrices in action
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties
cites work: Integral input-to-state stability of unbounded bilinear control systems
cites work: Infinite-Dimensional Input-to-State Stability and Orlicz Spaces
cites work: On continuity of solutions for parabolic control systems and input-to-state stability
cites work: Infinite-dimensional feedback systems: the circle criterion and input-to-state stability
cites work: ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances
cites work: Input-to-state stability for PDEs
cites work: On global stabilization of Burgers' equation by boundary control.
cites work: Computation of local ISS Lyapunov functions with low gains via linear programming
cites work: Interpolation Theory
cites work: Distributed and boundarycontrol of the viscous burgers' equation
cites work: Strict Lyapunov functions for semilinear parabolic partial differential equations
cites work: Local input-to-state stability: characterizations and counterexamples
cites work: Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach
cites work: Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
cites work: Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances
cites work: Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions
cites work: Local Stabilization of an Unstable Parabolic Equation via Saturated Controls
cites work: Characterizations of input-to-state stability for infinite-dimensional systems
cites work: Q3762690
cites work: Input-to-state stability for parabolic boundary control: linear and semilinear systems
cites work: Smooth stabilization implies coprime factorization
cites work: Q3527077
cites work: New characterizations of input-to-state stability
cites work: Q4651859
cites work: Q3532992
cites work: Well-posed systems -- the LTI case and beyond
cites work: Admissibility of Unbounded Control Operators
cites work: Admissible observation operators for linear semigroups
cites work: Q4204071
cites work: Estimation of LISS (local input-to-state stability) properties for nonlinear systems
cites work: Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations
cites work: A De Giorgi Iteration-Based Approach for the Establishment of ISS Properties for Burgers’ Equation With Boundary and In-domain Disturbances
DOI: 10.1137/23M155788X
description: scientific article; zbMATH DE number 7854553