Computing

Abstract: A review of a uni\u85ed approach to nonlinear operator dynamical systems is presented. The solution to a system of nonanticipating operator di¤erential equa-tions applied to the automatic control system is studied. Conditions for existence and uniqueness of the solution for optimal control systems are provided. The global solu-tion to the optimal automatic control of nonlinear nonanticipating dynamical systems is investigated. Key Words: nonanticipating, Lipschitzian, and induced operators, automatic opti-mal controls