Sentence examples for matrices are subject from inspiring English sources

When the system input matrices are subject to perturbations, new stabilization conditions are obtained to adjust the gain of the observer on the basis of the above-mentioned controller design rules.

In this paper, upper matrix bounds for the perturbation of the stabilizing solution of the continuous algebraic Riccati equation (CARE) are derived for the case when one, or all the coefficient matrices are subject to small perturbations.

where u ( k ) ∈ R n is the control input, the system matrices are subjected to uncertainties and belong to the polytope Ω given by Ω = { [ A, B ] : = ∑ i = 1 p ξ i [ A i, B i ], ∑ i = 1 p ξ i = 1, ξ i ≥ 0 }, where A i B i i = 1, 2, …, p, are given constant matrices with appropriate dimensions.

The system matrices are subjected to uncertainties and belong to the polytope Ω given by Ω = { [ A i, B i ] : = ∑ j = 1 N ζ j [ A i j, B i j ], ∑ j = 1 N ζ j = 1, ζ j ≥ 0 }, (2.2).

What is the best possible way to explore whether these effects are transmitted directly or indirectly? A. By assessing pollutants and/or metabolites in maternal matrices, cord blood and placental tissue to measure the effective dose to which the matrices are subjected, in combination with molecular analysis of biomarkers of effect in the corresponding matrices.

E. Combination of A and B. F. Combination of B and D. G. Combination of A, B and D. By assessing pollutants and/or metabolites in maternal matrices, cord blood and placental tissue to measure the effective dose to which the matrices are subjected, in combination with molecular analysis of biomarkers of effect in the corresponding matrices.

Bulk specimens, having an initial microstructure of equiaxed Pb-rich particles within the Sn-rich matrix, are subject to relatively fast deformations of tension, compression and bending.

The composite matrices were subjected to physicochemical characterization using XRD, TEM, XPS, EDAX, FESEM, spectral and micro Raman techniques.

The molded samples produced based on the design of experiments (DOE) matrices were subjected to tensile testing and scanning electron microscope (SEM) analyses.

The binary matrices were subjected to hierarchical agglomerative cluster analyses performed by means of the hclust- function within R. To illustrate an example of cluster analyses, Figure 4 depicts a result of a dataset comprising 873 MS/MS peak lists.

Following recent biological applications of phylogenetic bootstrapping (e.g. [86], [87]) 10,000 pseudo-replica character matrices were subjected to parsimony analysis.