Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems
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Publication:5136119
DOI10.1137/19M1297506zbMath1455.35274arXiv1911.01327MaRDI QIDQ5136119
Andrii Mironchenko, Fabian R. Wirth, Jonathan R. Partington, Birgit Jacob
Publication date: 25 November 2020
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.01327
linear systemsnonlinear systemsinfinite-dimensional systemsLyapunov functionsinput-to-state stability
Stability of topological dynamical systems (37B25) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Robust stability (93D09) Control/observation systems in abstract spaces (93C25) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) PDEs in connection with control and optimization (35Q93)
Related Items (13)
Corrigendum: Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems ⋮ Analysis and control of a non-local PDE traffic flow model ⋮ Input-to-state stability of homogeneous infinite dimensional systems with locally Lipschitz nonlinearities ⋮ ISS Lyapunov Strictification via Observer Design and Integral Action Control for a Korteweg–de Vries Equation ⋮ Lyapunov criteria for robust forward completeness of distributed parameter systems ⋮ The ISS framework for time-delay systems: a survey ⋮ Characterization of Integral Input-to-State Stability for Nonlinear Time-Varying Systems of Infinite Dimension ⋮ Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances ⋮ ISS estimates in the spatial sup-norm for nonlinear 1-D parabolic PDEs ⋮ Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems ⋮ Dwell-time stability conditions for infinite dimensional impulsive systems ⋮ Semi-uniform input-to-state stability of infinite-dimensional systems ⋮ Weighted operator-valued function spaces applied to the stability of delay systems
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