Sentence examples for system of matrix from inspiring English sources

The conditions are derived using a Lyapunov-Krasovskii functional and are given in terms of a system of matrix algebraic inequalities.

Since a vector operator is isomorphic, ( X 1 ∗, X 2 ∗, …, X q ∗ ) is the unique least Frobenius norm generalized reflexive solution group of the system of matrix equations (5).

The system of matrix partial differential equations developed is solved numerically for the cases of (a) infinite and (b) finite mass-transfer coefficients, or for (a) constant and (b) variable interfacial composition.

The Newmark and the Crank Nicolson time integration schemes are used to solve the dynamical system of matrix equations obtained from the spatial discretization of the elastic and thermal parts respectively.

The unknown coefficients in the FRFs are assembled in a linear system of matrix equations according to the thermal and mechanical loadings on surface and continuity condition of heat flux, temperature, displacement and stresses at each interface; then the coefficients are solved and expressed recursively.

The given pde is discretised on a three-dimensional grid and the set of difference equations is formulated as a linear system of matrix equations whose solution is found by a suitable decomposition of unknows based on knowledge of the eigenvalues and eigenvectors of simple tridiagonal matrices.

To elucidate whether this system of matrices determines uniquely x O [ v, m], we noticed that D1 is a square matrix such that all diagonal coefficients are equal to 1 and the others are nonpositive.

It promotes the resolution system of cartilage matrix turnover through an increase in inflammatory cytokine and matrix metalloproteinase production by chondrocytes [ 22, 23].

In his visionary masterpiece, Neuromancer, William Gibson described the distributed computational system of the "matrix": "A graphic representation of data abstracted from the banks of every computer in the human system.

This condition is given in terms of a system of linear matrix inequalities with rank constraints, and can be solved using some existing algorithms.

Stability analysis of the observer bank is analyzed using a Lyapunov theorem, which allows deriving sufficient stability conditions by solving a system of Linear Matrix Inequalities (LMIs).