Accession Number : AD0694087

Title :   STATE DETERMINATION IN DISTRIBUTIVE SYSTEMS WITH SPATIAL AVERAGING SENSORS,

Descriptive Note : Master's thesis,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF ENGINEERING

Personal Author(s) : Martin,Jean Claude

Report Date : 1969

Pagination or Media Count : 25

Abstract : The problem of determining the initial data of a second-order parabolic partial-differential equation defined on a bounded spatial domain from an observation of the solution at a given time T > O is considered. The observation is in the form of a weighted spatial average of the solution at time T. Two sufficient conditions for the solvability of this problem are given. The first condition pertains to the form of the integral kernel involved in the observation and the second pertains to the smoothness of the initial data. The case where the observation is expressed in terms of a reproducing kernel of a Hilbert space is treated for the heat equation defined on a one-dimensional bounded spatial domain. (Author)

Descriptors :   (*CONTROL SYSTEMS, DETECTORS), (*PARTIAL DIFFERENTIAL EQUATIONS, PROBLEM SOLVING), BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS, FOURIER ANALYSIS, HILBERT SPACE, CONDUCTION(HEAT TRANSFER), SERIES(MATHEMATICS), THESES

Subject Categories : Theoretical Mathematics
      Test Facilities, Equipment and Methods

Distribution Statement : APPROVED FOR PUBLIC RELEASE