Accession Number : AD0691856

Title :   ON OPTIMAL CONTROL OF THE VIBRATING STRING,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Malanowski,Kazimierz

Report Date : JUL 1969

Pagination or Media Count : 19

Abstract : The problem of minimization of total energy of the vibrating string in a given time is investigated. The boundary value control with constrained magnitude is considered. It is shown that this optimal control problem is equivalent to the determining of the minimum of some integral functional subject to constraints on the magnitude of the argument. The form of the optimal control function is characterized. It turns out that, in general, an optimal control of bang-bang type does not exist and the magnitude of the optimal control function is equal to the constraints only on some subintervals of the interval of control. (Author)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), (*VIBRATORS(MECHANICAL), CONTROL), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, FOURIER ANALYSIS, SERIES(MATHEMATICS)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE