Sentence examples for characterizes the solution to from inspiring English sources

The following proposition characterizes the solution to (10).

We characterize the solution to (26) in the following section.

This résumé of Theorem 12.1 will be applied to characterize the solution to Problem 3.

Furthermore, we shall characterize the solutions to the Cauchy type problem by the interval-valued integral equation under certain conditions.

Intensive stochastic analysis is carried out to obtain the filter gain characterized by the solution to a recursive matrix equation.

The equilibrium state is characterized as the solution to a fixed-point problem with respect to the saturation times.

The estimator gains are characterized by the solution to a convex optimization problem that is solved via the semi-definite programme method.

By using the linear matrix inequality (LMI) method, sufficient conditions are established that ensure the exponential mean-square stability of the filtering error, and then the filter parameters are characterized by the solution to a set of LMIs.

In terms of a constrained Riccati inequality we give a sufficient condition for the existence of a linear sliding surface and a compensator guaranteeing an H2 constraint, and we show that the control parameters can be characterized by using the solution to the given inequality condition.

Furthermore, we can extend this result to fully characterize the solution space of DCJ-indel sorting.

For a group of 20 conformers used to characterize the solution structure, the average pairwise root-mean-square distances from the mean coordinates calculated for the backbone heavy atoms N, Cα and C′ of resideus 1 51 is 0.38 Å.