Switching Properties of Time Optimal Controls for Systems of Heat Equations Coupled by Constant Matrices

DOI10.1137/20M1356373zbMath1461.93221arXiv2007.13948OpenAlexW3154201707MaRDI QIDQ5859523

Huaiqiang Yu, Shulin Qin, Gengsheng Wang

Publication date: 16 April 2021

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

Full work available at URL: https://arxiv.org/abs/2007.13948

zbMATH Keywords

maximum principletime optimal controlswitching pointssystem of heat equations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Existence theories for optimal control problems involving partial differential equations (49J20)

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Feedback controllability for blowup points of the heat equation

Cites Work

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• Observability inequalities and measurable sets
• A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups
• Semigroups of linear operators and applications to partial differential equations
• How violent are fast controls? II
• On switching properties of time optimal controls for linear ODEs
• The Bang-Bang principle of time optimal controls for the heat equation with internal controls
• Controllability of impulse controlled systems of heat equations coupled by constant matrices
• On the existence of time optimal controls for linear evolution equations
• An Approach to the Optimal Time for a Time Optimal Control Problem of an Internally Controlled Heat Equation
• The Minimum Time Function for Semilinear Evolutions
• On the Existence of Time Optimal Controls with Constraints of the Rectangular Type for Heat Equations
• Internal Observability for Coupled Systems of Linear Partial Differential Equations
• Approximation of Time Optimal Controls for Heat Equations with Perturbations in the System Potential
• A Bang-Bang Theorem with Bounds on the Number of Switchings
• The Dynamic Programming Equation for the Time-Optimal Control Problem in Infinite Dimensions
• Regularity of the Minimum Time Function and Minimum Energy Problems: The Linear Case
• Contróle Exact De Léquation De La Chaleur
• Structural Stability of Bang-Bang Trajectories with a Double Switching Time in the Minimum Time Problem
• On the Bellman Equation for the Minimum Time Problem in Infinite Dimensions
• On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations
• $L^\infty$-Null Controllability for the Heat Equation and Its Consequences for the Time Optimal Control Problem