Accession Number : AD0725774

Title :   Existence and Necessary Conditions for Infinite Dimensional Control Problems Involving Maximum Deviation,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Baziw,John ; Choudhury,Agit

Report Date : JUN 1971

Pagination or Media Count : 9

Abstract : The paper contains a discussion of a class of distributed parameter control problems in which it is desired to minimize the maximum deviation of the state from some desired response. The state equation is governed by a linear evolution equation and the control is distributed over the time and spatial domain. Conditions for the existence of optimal controls are obtained by formulating the control problem as a minimum norm problem in the dual of a normed linear space. Necessary conditions which the optimal controls must satisfy are then obtained by considering the dual maximization problem. Finally, the auxiliary moment problem, which is obtained by approximating the L sub infinity norm by the L sub p norm, is discussed as an epsilon-variational problem. (Author)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), PARTIAL DIFFERENTIAL EQUATIONS, OPTIMIZATION, NUMERICAL INTEGRATION, BANACH SPACE, CONVEX SETS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE