Time optimal sampled-data controls for the heat equation
DOI10.1016/j.crma.2017.11.006zbMath1383.49033arXiv1701.06116OpenAlexW2582344401MaRDI QIDQ1690937
Yubiao Zhang, Gengsheng Wang, Dong-Hui Yang
Publication date: 12 January 2018
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.06116
Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Heat equation (35K05) Sampled-data control/observation systems (93C57) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints
- Observability inequalities and measurable sets
- Decompositions and bang-bang properties
- Bang-bang property for time optimal control of semilinear heat equation
- Optimal sampled-data control, and generalizations on time scales
- Semigroups of linear operators and applications to partial differential equations
- Sampled-data control systems. Analysis and synthesis, robust system design. (Transl. from the German)
- Optimal control of sampled-data piecewise affine systems
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Asymptotic controllability and observability imply semiglobal practical asymptotic stabilizability by sampled-data output feedback.
- Optimal sampled-data control systems
- Impulse output rapid stabilization for heat equations
- Optimal actuator location for time and norm optimal control of null controllable heat equation
- Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory
- On the existence of time optimal controls for linear evolution equations
- Optimal actuator location of minimum norm controls for heat equation with general controlled domain
- On an LMI approach to optimal sampled-data state feedback control design
- Impulse and Sampled-Data Optimal Control of Heat Equations, and Error Estimates
- Perturbations of Time Optimal Control Problems for a Class of Abstract Parabolic Systems
- Equivalence of Three Different Kinds of Optimal Control Problems for Heat Equations and Its Applications
- The Time Optimal Control with Constraints of the Rectangular Type for Linear Time-Varying ODEs
- Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales
- An Approach to the Optimal Time for a Time Optimal Control Problem of an Internally Controlled Heat Equation
- The Optimal Sampling Pattern for Linear Control Systems
- Approximation of Time Optimal Controls for Heat Equations with Perturbations in the System Potential
- A uniqueness theorem for parabolic equations
- Regularity of the Minimum Time Function and Minimum Energy Problems: The Linear Case
- Approximate controllability of the semilinear heat equation
- On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations
- Time optimal control of the heat equation with pointwise control constraints
- Attainable Subspaces and the Bang-Bang Property of Time Optimal Controls for Heat Equations
- Observability Inequalities from Measurable Sets for Some Abstract Evolution Equations
- $L^\infty$-Null Controllability for the Heat Equation and Its Consequences for the Time Optimal Control Problem
- Time-Optimal Control of Solutions of Operational Differenital Equations
- Linear time varying systems and sampled-data systems
