Sentence examples for matrix to satisfy from inspiring English sources

The design idea is to apply a suitable Lyapunov function and the property of positive definite of a matrix to satisfy the direct Lyapunov theorem.

Moreover, the first order Taylor's expansion is also employed for the construction of stiffness matrix to satisfy the linear strain distribution.

The approach allows one to tune some elements of the controller transfer function matrix to satisfy the desired closed-loop performance, while the other elements are tuned to mutually decouple the closed-loop outputs.

Here, ∥M∥≤0.5 is required because {2M−(G+2M)⊤(G+2M)} in Eq. (8) must be a positive-semidefinite matrix to satisfy L x)≥0.

For this matrix to satisfy the orthogonality condition and to maintain independence, those rows needs to be picked as every N f /N c column, so then and ONLY then, each column and row are orthogonal.

We consider a linear transformation N g = R g E g ( n ), where the R g must be a unitary matrix to satisfy the orthogonal beamforming constraints N g † N g = I.

In [17], the authors proposed a suboptimal source and relay matrices design for parallel MIMO relay systems by first relaxing the power constraint at each relay node to the sum relay power constraints at the output of the second-hop channel and then scaling the relay matrices to satisfy the individual relay power constraints.

We also do not need to find a common positive matrix P to satisfy any inequality.

Nevertheless, each column of the measurement matrix needs to satisfy the cross-unrelated property for sparse recovery.

To avoid singularity in the variance-covariance matrix and to satisfy the condition of adding-up, one equation is dropped and an n-1 equation system is estimated.

Based on procedure of Darboux transformation for AKNS system in [49], we can construct a Darboux matrix T to satisfy (Psi^{ [ 1 ] }=TPsi), and to present the determinant representation of the n-fold transformation.