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optimal control theory

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optimal control theory [′äp·tə·məl kən′trōl ‚thē·ə·rē]
(control systems)
An extension of the calculus of variations for dynamic systems with one independent variable, usually time, in which control (input) variables are determined to maximize (or minimize) some measure of the performance (output) of a system while satisfying specified constraints.


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introduces both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician.
The central result in optimal control theory is given by the celebrated Pontryagin maximum principle [11], which is a necessary optimality condition.
CONCLUSION This paper presents a general mathematical formulation of the problem of turbulence modeling using optimal control theory and entropy as a measure of information.
 
 
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