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

摘要

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)