Small-Gain-Based Boundary Feedback Design for Global Exponential Stabilization of One-Dimensional Semilinear Parabolic PDEs
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Publication:5232213
DOI10.1137/18M1213129;zbMath1421.93113arXiv1809.04039MaRDI QIDQ5232213
Krstić, Miroslav, Iasson Karafyllis
Publication date: 30 August 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.04039
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Semilinear parabolic equations (35K58)
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Global finite-dimensional observer-based stabilization of a semilinear heat equation with large input delay ⋮ Event-triggered boundary stabilization for coupled semilinear reaction-diffusion systems with spatially varying coefficients ⋮ Absolute boundary stabilization for an axially moving Kirchhoff beam ⋮ Global stabilization of a 1D semilinear heat equation via modal decomposition and direct Lyapunov approach ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Input-to-state stabilization of an ODE-wave system with disturbances ⋮ Lyapunov-based boundary feedback design for parabolic PDEs ⋮ Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach ⋮ Nonlinear small-gain theorems for input-to-state stability of infinite interconnections ⋮ Global Stabilization of a Class of Nonlinear Reaction-Diffusion Partial Differential Equations by Boundary Feedback ⋮ ISS estimates in the spatial sup-norm for nonlinear 1-D parabolic PDEs ⋮ Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems
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