
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