The Theory of Optimal Control and the Calculus of Variations

reportActive / Technical Report | Accesssion Number: AD0267577 | Open PDF

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(s):
Kalman, R. E.
Author Organization(s):
MARTIN MARIETTA CORP BALTIMORE MD
Funding Organization(s):
Air Force Office of Scientific Research, Arlington , VA
Document Type:
Technical Report/Other
Publication Date:
1959 Jan 01
Pagination:
45

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution Code:
A - Approved For Public Release
Distribution Statement: Public Release

RECORD

Collection: TRECMS
Subject Terms
Modernization Areas:
Autonomy
Communities of Interest:
Autonomy
Descriptor(s):
air force, differential equations, calculus of variations, partial differential equations, control systems, euler equations, calculus, equations, hamiltonian functions, scalar functions, three dimensional, united states, engineering, computational fluid dynamics, computational science, dynamic programming, law
Keyword(s):
HAMILTONIAN EQUATION, OPTIMAL CONTROL THEORY
Subject Categories:
Mathematical and Computer Sciences
Update Date:
2023 Jul 03