Accession Number : AD0772729

Title :   Existence of Optimal Controls for Control Systems Governed by Nonlinear Partial Differential Equations,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Slemrod,Marshall

Report Date : 15 JAN 1974

Pagination or Media Count : 28

Abstract : A theory of existence of optimal controls for control systems governed by nonlinear evolution equations in Banach space is presented. The main technique is to imbed the problem into the theory of nonlinear evolution equations as presented in another paper and make use of certain approximation theorems presented there. Applications to a nonlinear wave equation with control in the damping coefficient and a nonlinear conservation law model for highway traffic control are presented. (Author)

Descriptors :   *Control theory, *Nonlinear differential equations, *Partial differential equations, Banach space, Optimization, Wave equations, Damping, Control, Traffic, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE