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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
parameter space in Figure 7.24 because rf(x
1
, x
2
) points in the direction of maximum decrease of
f(x
1
, x
2
), and we are looking at minimizin g the objective function.
Table 7.4 includes the points shown in Figure 7.24, the value of z for the contour, which the
points lie on, the negative gradient vector, and its magnitude. The lengths of the negative gradient
vectors are drawn proportional to their magnitudes given in the table.
A multivariable function like f(x
1
, x
2
) is expandable about a point (x
1
, x
2
) using a two-dimensional
Taylor Series, that is,
f (x
1
, x
2
) ¼ f ( x
1
, x
2
) þ
qf (x
1
, x
2
)
qx
1
(x
1
x
1
) þ
qf (x
1
, x
2
)
qx
2
(x
2
x
2
) þ h:o:t: (7:58)
Objective ...
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Publisher Resources

ISBN: 9781439836736