Necessary conditions in the optimal control of nonlinear integral equations

  • Wang, Fu-Yang (University of Sidney) ;
  • Lee, In-Beum (Research Institute of Industrial Science and Technology POSTECH) ;
  • Chang, Kun-Soo (Research Institute of Industrial Science and Technology POSTECH)
  • Published : 1989.10.01

Abstract

A Class of nonlinear distributed parameter control problems is first stated in a partial differential equation form in multi-index notion and then converted into an integral equation form. Necessary conditions for optimality in the form of maximum principle are then derived in Sobolev space W$^{l}$, p/(1 leq. p .leq. .inf.)..

Keywords