Bang-bang property of time optimal controls for some semilinear heat equation

2015/10/13 by Wang, Lijuan, Yan, Qishu
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1510.03673

Abstract

In this paper, we derive a bang-bang property of a kind of time optimal control problem for some semilinear heat equation on bounded C² domains (of the Euclidean space), with homogeneous Dirichlet boundary condition and controls distributed on an open and non-empty subset of the domain where the equation evolves.

Related

• Advantages for controls imposed in a proper subset
• A Bang-Bang Principle of Time Optimal Internal Controls of the Heat Equation
• Time-varying Bang-bang Property of Minimal Controls for Approximately Null-controllable Heat Equations
• Equivalence of minimal time and minimal norm control problems for semilinear heat equations
• Attainable subspaces and the bang-bang property of time optimal controls for heat equations