4) Optimal Control: Non-Quadratic Cost Function. Find the optimal path, x(t), to minize the following cost function •5 J [ (x* + 5u² ) dt + 5u? dt subject to the constraint x = 0.2x+u X(0) = 6 %3D X(5) = 4

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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4) Optimal Control: Non-Quadratic Cost Function.
Find the optimal path, x(t), to minize the following cost function
•5
J =
+ 5u? ) dt
%3D
subject to the constraint
X = 0.2x+u
X(0) = 6
X(5) = 4
Note: It is sufficient to give the differential equation that x(t) must satisfy to be optimal.
Transcribed Image Text:4) Optimal Control: Non-Quadratic Cost Function. Find the optimal path, x(t), to minize the following cost function •5 J = + 5u? ) dt %3D subject to the constraint X = 0.2x+u X(0) = 6 X(5) = 4 Note: It is sufficient to give the differential equation that x(t) must satisfy to be optimal.
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