Sentence examples for matrices so that from inspiring English sources
We show in particular how to design a selection rule for some weighting matrices so that the estimated parameters are consistent with the measurements and the noise constraints.
To overcome this difficulty, we introduce in this paper an approximation of the kernel matrices by appropriate multilevel circulant matrices so that the fast Fourier transform can be applied to reduce the computational cost.
With the derived closed form solution, extensive parametric studies can be performed on wind-excited tall buildings with LQG controllers to seek beneficial weighting matrices so that the maximum wind response reduction can be achieved with reasonable control forces.
Objective (a) is achieved by computing state feedback matrices so that the closed-loop subsystem evolution matrices generate a solvable Lie algebra (namely, they are all upper triangular in a common coordinate basis).
After reformulating the MPC control law as a PID control law, we provide conditions for prediction horizon and weighting matrices so that the closed-loop control is asymptotically stable, and show the effectiveness of the approach with simulation and experiment results.
The main advantage of the approach over the alternative waveguide/FE approach often termed the spectral FE method, is that conventional FE packages can be used to form the stiffness and mass matrices so that structures with complex geometries or material distributions can be analysed with relative ease.
"Our sensors are shown to be rather insensitive to matrix, so that is another key element from a scientific point of view," said Wang.
The results emphasize the need to create buffer zones, to increase reserve areas and to manage the matrix so that species dispersal is promoted.
Figure 7b shows that MCP-1-CFDA molecules are rapidly released from the gel matrix so that close to 80% of the material is available in the supernatant media after 24 h of seeding the gels.
MIL-101(Cr) micron-sized particles were synthesized and dispersed as filler in Matrimid/PVDF blended matrix so that a mixed matrix membrane (MMM) was formed.
In the companion paper (Part II), analytical formulae are derived for the posterior covariance matrix so that it can be evaluated without resorting to finite difference method.
