Global Stabilization of a Korteweg--De Vries Equation With Saturating Distributed Control
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Publication:5346504
DOI10.1137/16M1061837zbMath1361.93053arXiv1609.05728OpenAlexW2521163219MaRDI QIDQ5346504
Eduardo Cerpa, Vincent Andrieu, Christophe Prieur, Swann Marx
Publication date: 24 May 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.05728
Epidemiology (92D30) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic stability in control theory (93D20) Applications of operator theory in systems, signals, circuits, and control theory (47N70)
Related Items (20)
Output Feedback Stabilization of a Reaction-Diffusion PDE in the Presence of Saturations of the Input and Its Time Derivatives ⋮ Nonlinear boundary output feedback stabilization of reaction-diffusion equations ⋮ On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback ⋮ Safety verification for distributed parameter systems using barrier functionals ⋮ Global Well-Posedness of the KdV Equation on a Star-Shaped Network and Stabilization by Saturated Controllers ⋮ Delayed stabilization of the Korteweg-de Vries equation on a star-shaped network ⋮ ISS Lyapunov Strictification via Observer Design and Integral Action Control for a Korteweg–de Vries Equation ⋮ Saturated boundary feedback stabilization for LWR traffic flow model ⋮ Remarks on input-to-state stability of collocated systems with saturated feedback ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Robust distributed control of quasilinear reaction-diffusion equations via infinite-dimensional sliding modes ⋮ Strong stabilization of non-dissipative operators in Hilbert spaces with input saturation ⋮ Cone-bounded feedback laws for \(m\)-dissipative operators on Hilbert spaces ⋮ Output feedback stabilization of the Korteweg-de Vries equation ⋮ Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory ⋮ Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE ⋮ Stability and distributed control of degenerate diffusion equations ⋮ \(L^p\)-asymptotic stability analysis of a 1D wave equation with a nonlinear damping ⋮ Exponential stabilization of a linear Korteweg-de Vries equation with input saturation ⋮ Output Feedback Control of a Cascade System of Linear Korteweg--de Vries Equations
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