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It is usual in network models that scale and topology are represented by outer coupling matrix.
For these networks, the eigenvalues of the outer coupling matrix are all non-positive.
Furthermore, only the common bound of the outer coupling coefficients (CBOCC) is used to design the synchronization controllers.
The control action is regarded as a re-shape of outer coupling topology and the associated controllers are designed.
The outer coupling configuration matrix in our network model may be non-diffusive, time-varying, uncertain, asymmetric and irreducible.
Our drive-response networks also possess nonlinear inner coupling functions and time-varying outer coupling configuration matrices.
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As mentioned above, the inner couple of satellites is due to the average periodicity of the rippled corrugations whereas the outer couple, whose splitting turns out to be linearly dependent on the scattering phase, reflects the diffraction from the slope selected ripple facets.
Briefly, after RNA extraction and reverse transcription into cDNA as previously described (Eschwege et al, 1995; Tombal et al, 2003), a first row of PCR was performed using outer couples of PSA (PSAF, PSAR) and PSMA (PSMAF, PSMAR) primers in a multiplex fashion on 10 μl cDNA (25 PCR cycles with 1 min hybridisation at 60°C at each cycle).
From Figure 1, the outer-coupling matrices are considered as two cases.
Let 0 = λ 1 > λ 2 ≥ ⋯ ≥ λ N be the eigenvalues of the outer-coupling matrix G.
(C=[c_{ij}] in R^{Ntimes N}) is the outer-coupling matrix, where (c_{ij}) is defined as follows: if there exists a connection between node i with node j, then (c_{ij}>0); otherwise, (c_{ij}=0).
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