L-INFINITY-EXACT OBSERVABILITY OF THE HEAT-EQUATION WITH SCANNING POINTWISE SENSOR

被引：22

作者：

KHAPALOV, A ^{[1
]}

机构：

[1] INT INST APPL SYST ANAL,A-2361 LAXENBURG,AUSTRIA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 04期

关键词：

OBSERVABILITY; CONTROLLABILITY; THE HEAT EQUATION; SCANNING POINTWISE SENSORS;

D O I：

10.1137/S036301299222737X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of exact observability of the heat equation in an arbitrary space dimension with scanning pointwise sensor is considered in the case when the space for outputs is L(infinity)(e, theta), epsilon > 0. A new method for the construction of observation curves for sensors that are able to ensure L infinity(epsilon,theta)-exact observability at final time is given, based on the maximum principle for the heat equation. An application of the method to the observability problem with discrete-time scanning observations and related approximate controllability results are also discussed.

引用

页码：1037 / 1051

页数：15

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