Equivalence of Three Different Kinds of Optimal Control Problems for Heat Equations and Its Applications
From MaRDI portal
Publication:2840121
DOI10.1137/110852449zbMath1277.35195arXiv1110.3885OpenAlexW2149102153MaRDI QIDQ2840121
Publication date: 17 July 2013
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3885
Applications of optimal control and differential games (49N90) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) PDEs in connection with control and optimization (35Q93)
Related Items (21)
Optimal actuator location of minimum norm controls for heat equation with general controlled domain ⋮ Equivalence of three kinds of optimal control problems for linear heat equations with memory ⋮ Null controllability for distributed systems with time-varying constraint and applications to parabolic-like equations ⋮ Time optimal sampled-data controls for the heat equation ⋮ The bang-bang property of time and norm optimal control problems for parabolic equations with time-varying fractional Laplacian ⋮ Time-optimality by distance-optimality for parabolic control systems ⋮ Perturbations of Time Optimal Control Problems for Parabolic Integro-Differential Equations ⋮ Time and norm optimal controls for the heat equation with dynamical boundary conditions ⋮ Equivalence between Minimal Time and Minimal Norm Control Problems for the Heat Equation ⋮ On the partial controllability of SDEs and the exact controllability of FBSDES ⋮ Numerical computation for a kind of time optimal control problem for the tubular reactor system ⋮ 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-varying bang-bang property of time optimal controls for heat equation and its application ⋮ Exact controllability of linear stochastic differential equations and related problems ⋮ Decompositions and bang-bang properties ⋮ Minimal norm control problem governed by semilinear heat equation with impulse control ⋮ Minimal time control of exact synchronization for 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 ⋮ Observability Inequalities from Measurable Sets for Some Abstract Evolution Equations
This page was built for publication: Equivalence of Three Different Kinds of Optimal Control Problems for Heat Equations and Its Applications
