Optimal control theory is concerned with finding
control functions that minimize cost functions for systems described by
differential equations.
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Optimal control deals with the problem of finding a
control law for a given system such that a certain optimality criterion is achieved. A
control problem includes a cost functional that is a function of state and
control variables. An
optimal control is a set of
differential equations describing the paths of the
control variables that minimize the cost function.
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optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element (with regard to some criterion) from some set of available alternatives.. In the simplest case, an
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