Switching Controls for Analytic Semigroups and Applications to Parabolic Systems

DOI10.1137/20M1356920zbMath1466.93018arXiv2008.01821OpenAlexW4287445779MaRDI QIDQ5009780

Diego A. Souza, Sylvain Ervedoza, Felipe Wallison Chaves-Silva

Publication date: 6 August 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01821

zbMATH Keywords

controllabilityparabolic systemsanalyticityswitching control

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components
• Switching control
• New phenomena for the null controllability of parabolic systems: minimal time and geometrical dependence
• Recent results on the controllability of linear coupled parabolic problems: a survey
• Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls
• Semigroups of linear operators and applications to partial differential equations
• Remarks on approximate controllability
• Positive and negative results on the internal controllability of parabolic equations coupled by zero- and first-order terms
• Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• Local exact controllability of the Navier-Stokes system
• Exact boundary zero controllability of three-dimensional Navier-Stokes equations
• Minimal time issues for the observability of Grushin-type equations
• A block moment method to handle spectral condensation phenomenon in parabolic control problems
• Open loop stabilization of incompressible Navier-Stokes equations in a 2d channel using power series expansion
• Infinite horizon sparse optimal control
• Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions
• Remarks on exact controllability for the Navier-Stokes equations
• Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
• Global Carleman estimates for solutions of parabolic systems defined by transposition and some applications to controllability
• Linear-quadratic control problems withL¹-control cost
• Wild Spectral Behaviour of Anharmonic Oscillators
• SPECTRAL ASYMPTOTICS OF THE NON-SELF-ADJOINT HARMONIC OSCILLATOR
• Single input controllability of a simplified fluid-structure interaction model
• Sparse and switching infinite horizon optimal controls with mixed-norm penalizations
• A variational approach to sparsity optimization based on Lagrange multiplier theory
• Observability for the one-dimensional heat equation

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