Paper Info
Title
Computer algebra for the calculus of variations, the maximum principle, and automatic control
Abstract
This paper describes how a computer-algebra system can solve variational optimization problems analytically. For a calculus-of-variations problem, users provide functional integrands and constraints. A program derives corresponding Euler-Lagrange equations, together perhaps with first integrals. Other programs attempt analytic solution of these equations. For an optimal control problem, users provide analytic expressions for the differential constraints on the state variables. A program determines the corresponding Hamiltonian and differential equations for the auxiliary variables, together with solutions to any trivial auxiliary equations. Other programs attempt analytic solution of the remaining equations while maximizing the Hamiltonian.
Year
DOI
Venue
1979
10.1007/BF00995177
International Journal of Parallel Programming
Keywords
Field
DocType
calculus of variations,gacsvga.,optimal control,optimization,maximum principle,computer symbolic mathematics,computer algebra,calculus of variation,automatic control,analytic solution,program derivation,differential equation,optimization problem
Costate equations,Differential equation,Applied mathematics,Mathematical optimization,Maximum principle,Optimal control,Computer science,Calculus of variations,Numerical partial differential equations,Theoretical computer science,Examples of differential equations,Simultaneous equations
Journal
Volume
Issue
ISSN
8
5
1573-7640
Citations 
PageRank 
References 
1
0.41
1
Authors
1
Name
Order
Citations
PageRank
David R. Stoutemyer14919.14