Sentence examples for matrix variables and from inspiring English sources

The resulting stability criteria are of fewer matrix variables and less conservative than some existing ones.

Furthermore, the stability analysis by utilizing Lyapunov stability theory can be considered as an optimization problem with multiple matrix variables and many constraints.

The problem (Equations 12 to 14) is highly nonconvex with matrix variables, and a globally optimal solution is intractable to obtain.

Moreover, it can eliminate the coupling of Lyapunov matrix variables and system matrices by introducing slack variable that provides additional degree of freedom.

A new analysis method for H∞ performance of NCSs is provided by introducing some slack matrix variables and employing the information of the lower bound of the network-induced delay.

Since the conditions obtained are not represented by LMI form, decoupling between the Lyapunov function and the system matrices is generated using the proposed slack matrix variable, and a new condition is obtained.

Moreover, the scheduling and muting matrix variables, (bar {mathbf {S}}) and (bar {boldsymbol {alpha }}), are binary as described by the constraints in (15d) and (15e), respectively.

Overall, the results of this study will be highly useful to better understand the interplay of matrix variables in biomineralization and to design a wide array of mineralized matrix potentially used in cell therapies and tissue engineering.

Mathematical notations used in this paper are as follows: x and X are scalar variables; x and X are vector and matrix variables, respectively; H is the conjugate transpose.

Moreover, the predictive variables were different for the taxa, with the regression model for wild bees including both patch and matrix variables, that for plants richness including patch variables only, and that for ants including matrix variables only.

These additional matrix variables decouple the Lyapunov and the system matrices, which makes the control design feasible.