Unformatted text preview: problem by adding the dynamical constraint with a Lagrange multiplier function, and then solve the resulting EulerLagrange equations. (b) Add u as a state using the equation ˙ u ( t ) = v ( t ), and now v becomes the input to be optimized. This is now in the standard form for optimal control problems. In fact, it is a minimum energy state transfer problem, but with only part of the states speciﬁed at the end points Use both methods above to solve this problem and compare the two. 1...
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 Winter '09
 Bamieh
 Calculus of variations, Euler–Lagrange equation, Joseph Louis Lagrange

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