Solve the following minimal time problem. min "(1+u(t)²)dt s.t. dx1 dt x1(0) = x2(0) = = x2(t), dx2 dt = u(t) 0, ₁(T) = 0 and u(t)|≤1.
Solve the following minimal time problem. min "(1+u(t)²)dt s.t. dx1 dt x1(0) = x2(0) = = x2(t), dx2 dt = u(t) 0, ₁(T) = 0 and u(t)|≤1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Solve the following minimal time problem.
min "(1+u(t)²)dt
s.t.
dx1
dt
x1(0) = x2(0)
=
=
x2(t),
dx2
dt
=
u(t)
0, ₁(T) = 0 and u(t)|≤1.
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