) Given the first-order system i(t) = u(t), x(1) = 3. The performance measure J = 2² (5) + [² / ² (t) dt. Try to find the optimal control u* (t) and the optimal performance criterion J*.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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) Given the first-order system
i(t) = u(t), x(1) = 3.
The performance measure
1
J = r (6) + u(e) dt.
Try to find the optimal control u*(t) and the optimal performance criterion J*.
Transcribed Image Text:) Given the first-order system i(t) = u(t), x(1) = 3. The performance measure 1 J = r (6) + u(e) dt. Try to find the optimal control u*(t) and the optimal performance criterion J*.
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