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Modeling and Inverse Problems in the Presence of Uncertainty
book

Modeling and Inverse Problems in the Presence of Uncertainty

by H. T. Banks, Shuhua Hu, W. Clayton Thompson
April 2014
Intermediate to advanced content levelIntermediate to advanced
405 pages
13h
English
Chapman and Hall/CRC
Content preview from Modeling and Inverse Problems in the Presence of Uncertainty
Propagation of Uncertainty in a Continuous Time Dynamical System 259
conditions
˙
x = g(t, x), x(0) = X
0
, (7.88)
where x = (x
1
, x
2
, . . . , x
n
)
T
, g = (g
1
, g
2
, . . . , g
n
)
T
is an n-dimensional non-
random vector function of t and x, and X
0
is an n-dimensional random vector.
Equation (7.88) is often referre d to as a crypto-deterministic fo rmulation
(e.g., see [52, 86, 104]) a nd has proved useful in a wide number of appli-
cations, including classical statistical mechanics, statistical thermodynamics,
kinetic theory and bioscienc es (e.g., see [1 04, Chapter 6] for a more detailed
discussion). Depending on the application, the uncertainty in initial condi- ...
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Publisher Resources

ISBN: 9781482206432