Approximation of Time Optimal Controls for Heat Equations with Perturbations in the System Potential

DOI10.1137/120904251zbMath1295.93055arXiv1301.0215OpenAlexW1996065896MaRDI QIDQ3192137

Huaiqiang Yu

Publication date: 26 September 2014

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

Full work available at URL: https://arxiv.org/abs/1301.0215

zbMATH Keywords

heat equationtime optimal control\(L^\infty\)-convergenceperturbation of potential

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Control/observation systems governed by partial differential equations (93C20) Perturbations in control/observation systems (93C73)

Related Items (14)

Time optimal sampled-data controls for the heat equation ⋮ Strong stability of linear parabolic time-optimal control problems ⋮ Perturbations of Time Optimal Control Problems for Parabolic Integro-Differential Equations ⋮ Equivalence between Minimal Time and Minimal Norm Control Problems for the Heat Equation ⋮ Equivalence of minimal time and minimal norm control problems for semilinear heat equations ⋮ Continuous dependence of optimal control to controlled domain of actuator for heat equation ⋮ Time optimal control of a thermoelastic system ⋮ Decompositions and bang-bang properties ⋮ Quantitative unique continuation for the heat equation with Coulomb potentials ⋮ Perturbations of Time Optimal Control Problems for a Class of Abstract Parabolic Systems ⋮ Attainable Subspaces and the Bang-Bang Property of Time Optimal Controls for Heat Equations ⋮ Two Equivalence Theorems of Different Kinds of Optimal Control Problems for Schrödinger Equations ⋮ Switching Properties of Time Optimal Controls for Systems of Heat Equations Coupled by Constant Matrices ⋮ Observability Inequalities from Measurable Sets for Some Abstract Evolution Equations

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