用微分差分方程描述系统的时间最优控制问题

Journal of The Society for Industrial and Applied Mathematics, Series A: Control Pub Date : 1900-01-01 DOI:10.1137/0301017

M. N. Ogˇuztöreli

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引用次数: 21

摘要

本文的目的是建立一个状态用迟滞参数线性微分-差分方程描述的物理系统的最优时间控制问题的解。我们利用LaSalle的一种技术，借助Bellman和Cooke的核矩阵表示，以及线性微分-差分方程解的一种新的积分表示，得到了Bellman和他的合作者Glicksberg、Gross和Kalaba以及LaSalie和Neustadt的结果的推广。

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A Time Optimal Control Problem for Systems Described by Differential Difference Equations

The aim of this paper is to establish the solution of an optimal time control problem for a physical system whose state is described by a linear differential-difference equation with retarded argument. We have obtained here a generalisation of the results of Bellman and his collaborators Glicksberg, Gross and Kalaba, and of LaSalie and Neustadt by using a technique due to LaSalle, with the help of the kernel matrix representation of Bellman and Cooke and also a new integral representation for the solutions of linear differential-difference equations.

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Journal of The Society for Industrial and Applied Mathematics, Series A: Control

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