On -optimal controls for state constraint problems

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• 作者：Hitoshi Ishii ; Shigeaki Koike
• 关键词：Multidimensional scalar conservation laws ; Kinetic formulation of entropy solutions ; Velocity averages ; Scattering ; Two-microlocal regularity ; Radon transform
• 刊名：Annales de l'Institut Henri Poincare (C) Non Linear Analysis
• 出版年：2000
• 出版时间：July 2000
• 年：2000
• 卷：17
• 期：4
• 页码：473-502
• 全文大小：177 K

文摘

We present a method of constructing -optimal controls in the feedback form for state constraint problems.

Our method is as follows: We first find feedback laws directly from the associated Hamilton–Jacobi–Bellman equation and an approximation of the value function by the inf-convolution. We then construct piece-wise constant controls so that corresponding cost functionals approximate the value function of state constraint problems.