Quadratic obstructions to controllability, from finite to infinite dimension

DOI10.5802/slsedp.106zbMath1475.93013OpenAlexW2728954509MaRDI QIDQ2053922

Frédéric Marbach

Publication date: 30 November 2021

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/slsedp.106

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (1)

Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations

Cites Work

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• Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
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• Exact boundary controllability of a nonlinear KdV equation with critical lengths
• Local controllability of 1D Schrödinger equations with bilinear control and minimal time
• Exact controllability theorems for linear parabolic equations in one space dimension
• Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
• Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
• Boundedness results for operators with singular kernels on distribution spaces
• Regularity properties of singular integral operators
• An obstruction to small time local null controllability for a viscous Burgers' equation

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