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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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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.
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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