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One can expand the approximation space to turn the problem into static one.

At the same time, the presence of at last one layer with bounded activation functions (e.g. unipolar sigmoid or hyperbolic tangent) provides limited output values.

it requires that initially selected sampling time is applied to the data in learning and recall phases.

And what is more important,there is no warranty of an ANN emulator stable operation, when it is trained in series-parallel identification scheme and then works in parallel configuration.
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