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The properties of input-output map equivalence and preservation of stability between two systems, one of which includes the other, are presented.
As in [13], generally, the input-output map of an amplification transfer system can be represented by the following nonlinear differential equation: F s o ( t ), d s o ( t ) dt, …, d p s o ( t ) d t p, s i ( t ), d s i ( t ) dt, …, d r s i ( t ) d t r = 0 (1).
Hence, the hierarchical metamodelling could provide additional insights into the input-output map of the analysed model.
We therefore assumed that the most important input-output map characteristics could be revealed using six regional NPLSR models in the N-way HC-PLSR.
From a mathematical point of view, any modeling approach allowing to compute the input-output map in (2) can be directly cast in our general framework.
The database also provides the Boolean input-output map at each node, e.g., the configuration of each gene (on or off), as a function of the on-off states of all its inputs.
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Hamiltonian systems have a property called variational symmetry which can be used to estimate the input-output mapping of the variational adjoint for certain input-output mappings of the systems.
Fig. 2 a Input-output mapping.
The non-linear static input-output mapping of the system is not one-to-one [16].
where fANN denotes the input-output mapping function implemented by the ANN.
Pilot survey experimental non-linear input-output mapping data are used for the design of neuro-controller.
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