Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces
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Publication:1729036
DOI10.1016/j.sysconle.2018.07.007zbMath1408.93122arXiv1708.07953OpenAlexW2963952850MaRDI QIDQ1729036
Andrii Mironchenko, Fabian R. Wirth
Publication date: 27 February 2019
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.07953
Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25) Control/observation systems in abstract spaces (93C25)
Related Items (15)
Boundary control design for conservation laws in the presence of measurement disturbances ⋮ Converse Lyapunov-Krasovskii theorem for ISS of neutral systems in Sobolev spaces ⋮ Input-to-state stability of non-autonomous infinite-dimensional control systems ⋮ Input‐to‐state practical stability for nonautonomous nonlinear infinite‐dimensional systems ⋮ Characterization of Integral Input-to-State Stability for Nonlinear Time-Varying Systems of Infinite Dimension ⋮ Weighted input-to-output practical stability of non-autonomous infinite-dimensional systems with disturbances ⋮ Remarks on input-to-state stability of collocated systems with saturated feedback ⋮ 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 ⋮ Input-to-state stability of impulsive stochastic infinite dimensional systems with Poisson jumps ⋮ Event-based robust stabilization for delayed systems with parameter uncertainties and exogenous disturbances ⋮ Input-to-state stability of infinite-dimensional stochastic nonlinear systems ⋮ Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances ⋮ Weak input-to-state stability: characterizations and counterexamples ⋮ Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems
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