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A min-plus fundamental solution semigroup for a class of approximate infinite dimensional optimal control problems

机译：一类近似无限维最优控制问题的最小加基本解半群

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By exploiting min-plus linearity, semiconcavity, and semigroup properties of dynamic programming, a fundamental solution semigroup for a class of approximate finite horizon linear infinite dimensional optimal control problems is constructed. Elements of t

机译：通过利用动态规划的最小加线性，半凹性和半群性质，构造了一类近似有限水平线性无穷维最优控制问题的基本解半群。 t的元素

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《Annual American Control Conference》|2020年|794-799|共6页
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Peter M. Dower; William M. McEneaney;
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关键词
Optimal control; Convolution; Kernel; Transforms; Dynamic programming; Regulators; Standards;

机译：最优控制;卷积;核;变换;动态编程;调节器;标准;

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专利

1. The Fundamental Solution and Its Role in the Optimal Control of Infinite Dimensional Neutral Systems [J] . Liu Kai Applied mathematics and optimization . 2009,第1期

机译：基本解及其在无限维中立系统最优控制中的作用
2. LINEAR PROGRAMMING BASED OPTIMALITY CONDITIONS AND APPROXIMATE SOLUTION OF A DETERMINISTIC INFINITE HORIZON DISCOUNTED OPTIMAL CONTROL PROBLEM IN DISCRETE TIME [J] . Gaitsgory Vladimir, Parkinson Alex, Shvartsman Ilya Discrete and continuous dynamical systems . 2019,第4期

机译：离散时间确定线性无限折扣最优控制问题的基于线性规划的最优条件和近似解
3. LQ-optimal boundary control of infinite-dimensional systems with Yosida-type approximate boundary observation [J] . Dehaye Jeremy R., Winkin Joseph J. Automatica . 2016,第Null期

机译：无限大系统的LQ最优边界控制和Yosida型近似边界观测
4. A min-plus fundamental solution semigroup for a class of approximate infinite dimensional optimal control problems [C] . Peter M. Dower, William M. McEneaney American Control Conference . 2019

机译：对于一类近似无限维度最佳控制问题，半群MIN-Plus基本解决方案
5. Approximating infinite horizon discrete-time optimal control using CMAC networks. [D] . Barth, Eric John. 2000

机译：使用CMAC网络逼近无限视野离散时间最优控制。
6. A handy approximate solution for a squeezing flow between two infinite plates by using of Laplace transform-homotopy perturbation method [O] . Uriel Filobello-Nino, Hector Vazquez-Leal, Juan Cervantes-Perez, -1

机译：拉普拉斯变换-同伦摄动法在两个无限板之间挤压流动的简便近似解
7. Linear Programming Based Optimality Conditions and Approximate Solution of a Deterministic Infinite Horizon Discounted Optimal Control Problem in Discrete Time [O] . Gaitsgory, Vladimir, Parkinson, Alex, Shvartsman, Ilya 2017

机译：基于线性规划的最优性条件及近似解 n作者：王莹，2009年第02期确定性无限时空特征最优控制问题的研究study 离散时间
8. Class of Suboptimal Controls for Infinite-Dimensional Bilinear Systems [R] . Banks, S. P., Yew, M. K. 1984

机译：无限维双线性系统的次优控制

A min-plus fundamental solution semigroup for a class of approximate infinite dimensional optimal control problems

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