Accession Number : AD0620104

Title :   OPTIMAL REGULATION OF LINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH FINITE DIMENSIONAL CONTROLS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Russell,David L.

Report Date : MAY 1965

Pagination or Media Count : 63

Abstract : Finite dimensional control of a class of linear symmetric hyperbolic systems of partial differential equations is considered. The control criterion is minimization of the energy of the system at a given time T after the exercise of control is begun. It is shown that the optimal control exists and satisfies a maximum principle. A type of normality condition is discussed. It is shown that a class of boundary value control problems can be treated in this setting. Some numerical procedures are suggested. (Author)

Descriptors :   (*OPTIMIZATION, CONTROL SYSTEMS), (*PARTIAL DIFFERENTIAL EQUATIONS, MOTION), NONLINEAR PROGRAMMING, BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), HEAT TRANSFER, DEFORMABLE PROJECTILES

Distribution Statement : APPROVED FOR PUBLIC RELEASE