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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 15, 1974
Accession Number
AD0772729

Entities

People

  • Marshall Slemrod

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Control Systems
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Formulas (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Personal Information Managers
  • Real Variables
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Robotics and Automation.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers