Sentence examples for matrix equation and from inspiring English sources

The vibroacoustic problem with the boundary conditions is formulated in a transfer matrix equation and solved simultaneously.

The accurate linear terms can be obtained by solving a Riccati matrix equation and a Sylvester equation, respectively.

In the method, we (1) use the Haar wavelet; (2) establish a Lyapunov-type matrix equation; and (3) obtain the algebraic equations suitable for computer programming.

The approach presents parametrization in terms of linear matrix equation and quadratic matrix inequalitity which depend on parameter matrices similar to weight matrices in LQR theory.

We also point out the relationship between the above matrix equation and the polynomial Bézout equation |B z)|2+|C z)|2="a>0 for |z|="1.

To determine the optimal switched law only requires resolving matrix equation, and the construction of the equation is very simple and precise.

It is based on parameter algebraic matrix equations and LMI conditions.

In [24, 25, 27] some applications to matrix equations and to ordinary differential equations are presented.

Besides, applications to matrix equations and ordinary differential equations were presented in [10, 11].

There is no need to solve large matrix equations, and constraints can be added easily.

Jonsson and Kågström [11, 12] proposed recursive block algorithms for solving the coupled Sylvester matrix equations and the generalized Sylvester and Lyapunov matrix equations.