Accession Number:

AD0602417

Title:

THE APPLICATION OF DYNAMIC PROGRAMMING TO A LINEAR TIME-VARYING SYSTEM,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1964-07-01

Pagination or Media Count:

44.0

Abstract:

This Memorandum discusses the application of dynamic programming to dynamical systems that can be described by linear time-varying differential equations. Two different mathematical formulations of the problem are discussed. One method is based on defining a relative system state vector and the other on defining a combined system state vector. It is shown how the two expressions obtained for the optimal control vector are equivalent. The two approaches are discussed in terms of a satellite rendezvous problem, and some computational formulas are derived for computing an approximate solution. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE