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A fundamental theorem for the model reduction of nonlinear systems

โœ Scribed by F. Mossayebi; T.T. Hartley; J.A. De Abreu-Garcia

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
451 KB
Volume
329
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

A simple, but fundamental, theorem is given on the extent to which a nonlinear system model can have its order reduced. EssentialIy, the result is that the order, or the dimension of the state space representation, cannot be reduced to, or below, the dimension of the system's attractor. Several examples are given to illustrate this point. The result is especially applicable to higher order systems such as the in$nite dimensional systems arising from the modeling of distributed parameter systems.

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