The value function of the singular quadratic regulator problem with distributed control action

被引：5

作者：

Bucci, F

Pandolfi, L

机构：

[1] Univ Florence, Dipartimento Matemat Applicata G Sansone, I-50139 Florence, Italy

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1998年 / 36卷 / 01期

关键词：

value function; quadratic regulator; distributed systems;

D O I：

10.1137/S036301299529536X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the regularity properties of the value function of a quadratic regulator problem for a linear distributed parameter system with distributed control action. No definiteness assumption on the cost functional is assumed. We study the regularity in time of the value function and also the space regularity in the case of a holomorphic semigroup system.

引用

页码：115 / 136

页数：22

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