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For systems with symmetric dynamic matrices, the problem of minimizing the H2 or H∞ performance of the closed-loop system can be cast as a convex optimization problem.
With the introduction of the quaternions and rotation matrices, the problem becomes clearly nonlinear and more than one iteration is required.
Note that the first term in (59) is irrelevant to F. Hence for given source matrices, the problem of optimizing F can be simplified as begin{array}{*{20}l} min_{mathbf{F}} & quadtext{tr}left(mathbf{B}_{k}^{H}mathbf{H}_{k}^{H}left {boldsymbolPsi}mathbf{F}^{H}mathbf{G}_{k}^{H}mathbf{G}_{k}mathbf{F}{boldsymbolPsi} + {boldsymbolPsi}right)^{-1}mathbf{H}_{k}mathbf{B}_{k}right) end{array} (60a).
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However, unlike matrices, the problems for tensors are generally nonlinear.
As this method relies on the computation of a Roe matrix, the problem is to find a matrixA(Ul,Ur) which satisfies the following properties.
In the Matrix, the problem is inevitable because if a row intensification is followed by a column intensification (or vice versa), it is possible that the target lies at the intersection of these two intensifications.
We derive sampling representations for transforms whose kernels are either solutions or the Green's matrices of the problem.
The solution of the Conic Quadratic Eigenvalue Complementarity Problem (CQEiCP) is first investigated without assuming symmetry on the matrices defining the problem.
This produces interval stiffness and mass matrices, and the problem is transformed into a generalized interval eigenvalue problem in interval mathematics.
In [14] it was suggested to use the direction of arrival (DOA) of source signals, determined from the estimated mixing matrices, for the problem solution.
We use common unitary matrices, and the problem of synchronization is transformed into the stability analysis of some linear time-varying delay systems.
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