A bibliography is presented of publications and reports resulting from the research project

Sagan, H.

English

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NORTH CAROLINA STATE UNIVERSITY
at Raleigh
DEPARTMENT OF MATHEMATICS
(NASA-CR-138109) CALCULUS OF VARIATIONS N74-22250
AND MATHEMATICAL THEORY OF OPTIMAL
CONTROL Final Report, 15 Sep. 1965 -
15 Mar. 1974 (North Carclina State Unclas
Univ.) 3 p HC $4.00 CSCL 12A G3/19 37093
CALCUJUS OF VARIATIONS AND MATHEMATICAL
THEORY OF OPTIMAL CONTROL
Final Report
March 15, 1974
Grant No.: NGL - 34-002-032
NATIONAL AERONAUTICS AND SPACE ADMIN
Period of Performance
September 15, 1965 - March 15, 1974
Prepared by
Hans Sagan, Principal Investigator
https://ntrs.nasa.gov/search.jsp?R=19740014137 2020-03-23T09:15:19+00:00Z
The following publications and reports, germane to this grant, were prepared
while this grant was in effect and were fully or partially supported by this grant:
Publications:
Lagrange Problems with a Variable Endpoint as Optimal Control Problems
by Hans Sagan, NASA-CR 837, 1967
Dynamic Programming and Pontryagin's Maximum Principle
by Hans Sagan, NASA-CR 838, 1967
Optimal Control Problems as Equivalent Lagrange Problems
by S. K. Park, NASA-CR 1550, 1970
Singular Extremaloids in Optimal Control Theory and the Calculus of Variations
by T. S. Straeter, NASA-CR 1581, 1970
The Linear Time Optimal Control Problem from a Calculus of Variations Point of View
by L. M. Hanafy, NASA-CR 1612, 1970
Calculus of Variations and Optimal Control Theory
by Hans Sagan, J. Franklin Institute, Volume 291, 1971
Bounded State Problems and the Calculus of Variations
by L. M. Hanafy, NASA-CR 1984, 1972
Optimal Control Problems with a Compact and Convex Control Region
by Hans Sagan, (to appear in: Proceedings of the 14th Biennial Seminar of the
Canadian Mathematical Congress, 1973)
Optimal Control
by Hans Sagan, (to appear as Chapter 8 in: Handbook of Operations Research,
The VanNostrand-Reinhold Book Company, 1974)
Ph.D. Theses:
On the Equivalence of Optimal Control Problems and the Transformation of Optimal
Control Problems with Compact Control Region into Lagrange Problems
by S. K. Park, North Carolina State University, 1970.
2On the Extension of the Davidon-Broyden Class of Rank One, Quasi-Newton Minimization
Methods to an Infinite Dimensional Hilbert Space with Applications to Optimal Control
Problems
by T. S. Straeter, North Carolina State University, 1971
A Transformation Approach to Optimal Control Problems with Bounded State Variables
by L. M. Hanafy, North Carolina State University, 1971.
Multilithed Reports:
The Transversality Condition in the Calculus of Variations
by Hans Sagan, 1966
Calculus of Variations and Optimal Control Theory
by Hans Sagan and J. D. Watson, 1966
Note on Lagrange Problems with Extremals of Changing Class
by Hans Sagan, 1966
Optimal Control theory - Classical and Modern (with extensive Bibliography)
by Hans Sagan, 1966


Calculus of variations and mathematical theory of optimal control

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