Reachable states for infinite-dimensional linear systems: old and new
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Publication:6200216
DOI10.4171/icm2022/12OpenAlexW4389775641MaRDI QIDQ6200216
Publication date: 22 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/12
Control/observation systems governed by partial differential equations (93C20) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25) Attainable sets, reachability (93B03) Heat kernel (35K08) Bergman spaces and Fock spaces (30H20)
Cites Work
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- Controllability in a filled domain for a multidimensional wave equation with the singular boundary control
- Theory of reproducing kernels and applications
- Admissibility of input elements for diagonal semigroups on \(\ell\) 2
- Time-invariance of the reachable set for linear control problems
- The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
- Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves
- Separation of singularities for the Bergman space and application to control theory
- Backward uniqueness results for some parabolic equations in an infinite rod
- From the reachable space of the heat equation to Hilbert spaces of holomorphic functions
- Reachable states and holomorphic function spaces for the 1-D heat equation
- Exact controllability theorems for linear parabolic equations in one space dimension
- On the lack of null-controllability of the heat equation on the half-line
- Pseudo-périodicité et séries de Fourier lacunaires
- The bergman space on a sector and the heat equation
- Fast and strongly localized observation for the Schrödinger equation
- Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
- Even More States Reachable by Boundary Control for the Heat Equation
- Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
- Isometrical identities and inverse formulas in the one-dimensional heat equation
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Admissibility of Unbounded Control Operators
- Analytic controllability of the wave equation over a cylinder
- On the Reachable Set for the One-Dimensional Heat Equation
- Fourier Series in Control Theory
- On the Reachable States for the Boundary Control of the Heat Equation
- Regularity and Exact Controllability for a Beam with Piezoelectric Actuator
- A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
- Mathematical Description of Linear Dynamical Systems
- The cost of approximate controllability for heat equations: The linear case