Sentence examples for using the exponential matrix from inspiring English sources

Such a system is exactly solved using the exponential matrix method which is calculated by means of an expansion with a very fast convergence ratio.

We use the exponential correlation matrix structure where (i,j th element of the matrix Φ s is ρ s | i − j | and that of the correlation matrix Φ d is ρ d | i − j |.

The exponential function is available in bipolar technology using the exponential characteristic of the bipolar transistor.

By using the exponential mean-square stability definition, the stability condition with an H∞ performance is guaranteed for the fuzzy system with the sampled-data fuzzy filter, and its sufficient condition is converted into the linear matrix inequality (LMI) format.

The present work investigates the convergence of the proposed method related to the order N used for the expansion of the exponential matrix and to the number of mathematical layers M used for the solution of shell equations.

The shell solution is based on a layer-wise approach and the second order differential equations are solved using the redouble of variables and the exponential matrix method.

However, calculating the exponential matrix is known to be a slow computational process.

Exponential integrators use the matrix exponential and related matrix functions within the formulation of the numerical method.

Using the delayed matrix exponential (2.5), it is easy to see that, in this case, is a normal fundamental matrix for the homogeneous unperturbed system, and (4.49).

The denominator P (d j | d i ) is the total transition probability over the length of the edge and may be computed using the same matrix exponential e m Δ used in the previous section.

The main objective of this paper is to use delayed exponential matrix to generate the control input (u_{k}) such that the time-delay system output (y_{k}) is tracking the iteratively varying reference trajectories (y_{d}) as accurately as possible when (krightarrowinfty) uniformly on ([0,T]) in the sense of the λ-norm by adopting P-type ILC and D-type ILC.