Accession Number : AD0767697

Title :   Second Order Necessary Conditions for Problems with State Inequality Constraints.

Descriptive Note : Technical rept.,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Russak,I. Bert

Report Date : JUN 1973

Pagination or Media Count : 34

Abstract : A set of second order necessary conditions is obtained for solution to a basic problem in optimal control involving the state constraints psi sup alpha (t,x) < or = 0 alpha = 1,...,m. For the case of a normal solution arc, the methods of Hestenes are used to show that the second variation of a certain functional is non-negative on a class of variations of the solution arc. The results for this problem are basic in the sense that they can be extended to include analagous results for much more complicated problems. (Author)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), PARTIAL DIFFERENTIAL EQUATIONS, CALCULUS OF VARIATIONS, MATRICES(MATHEMATICS), THEOREMS, OPTIMIZATION, INEQUALITIES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE