Accession Number : AD0267577

Title :   THE THEORY OF OPTIMAL CONTROL AND THE CALCULUS OF VARIATIONS

Corporate Author : MARTIN CO BALTIMORE MD RESEARCH INST FOR ADVANCED STUDIES

Personal Author(s) : KALMAN,R.E.

Report Date : 1960

Pagination or Media Count : 31

Abstract : The hamiltonian theory of the calculus of variations is formulated for a wide variety of problems in the theory of control. The hamiltonian function is constructed with the aid of the Minimum Principle, which is the counterpart of the same principle due to Pontryagin. The canonical differential equations of Hamilton are shown to imply Pontryagin's theorem. A number of concrete examples are included. (Author)

Descriptors :   *CALCULUS OF VARIATIONS, *CONTROL, *MATHEMATICAL PREDICTION, ALGEBRAIC TOPOLOGY, COMBINATORIAL ANALYSIS, DIFFERENTIAL EQUATIONS, SCHEDULING, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE