The Classical Calculus of Variations and Optimal Control

1996 ◽  
pp. 151-181
Author(s):  
V. N. Afanas’ev ◽  
V. B. Kolmanovskii ◽  
V. R. Nosov
Keyword(s):  
Optimal Control ◽  
Calculus Of Variations ◽  
Classical Calculus

scholarly journals Optimal Control Theory: Introduction to the Special Issue

Games ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 29
Author(s):  
Ellina Grigorieva
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Calculus Of Variations ◽  
Optimal Control Theory ◽  
Special Issue ◽  
Classical Calculus

Optimal control theory is a modern extension of the classical calculus of variations [...]

Calculus of variations and optimal control theory

2010 ◽  
pp. 111-122
Author(s):  
Knut Sydsæter ◽  
Arne Strøm ◽  
Peter Berck
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Calculus Of Variations ◽  
Optimal Control Theory

scholarly journals Optimal Control with Time Delays via the Penalty Method

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Mohammed Benharrat ◽  
Delfim F. M. Torres
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimality Conditions ◽  
Calculus Of Variations ◽  
Convergence Theorem ◽  
Unknown Function ◽  
Time Delays ◽  
Penalty Method ◽  
Necessary Optimality Conditions

We prove necessary optimality conditions of Euler-Lagrange type for a problem of the calculus of variations with time delays, where the delay in the unknown function is different from the delay in its derivative. Then, a more general optimal control problem with time delays is considered. Main result gives a convergence theorem, allowing us to obtain a solution to the delayed optimal control problem by considering a sequence of delayed problems of the calculus of variations.

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