
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