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The research revealed that the singular value of the signal is a sensitive criterion for detecting the singularity occurring in amplitude, and the construction entropy proposed in the paper is a satisfactory criterion for detecting the singularity occurring in signal construction.
A bound of the largest singular value of the perturbation matrix is obtained as the robust consensus condition.
In this method, the main idea is minimization of the largest singular value of the transfer function matrix between force/moment resultants and outputs stress/strain.
The pertinence of a frequency choice criteria based on the smallest singular value of the solved system during the identification of the boundary conditions is shown.
Based on earlier publications, it is indicated that if the structure is controlled by Nc ideal actuators this min max problem is equivalent to minimizing the Nc+1th singular value of the disturbance influence matrix.
During the optimization, a four-degree-of-freedom torsional vibration model of the pinion gear wheel gear system is obtained and the minimum singular value of the transfer matrix is considered as the objective functions and design parameters are optimized under several constraints that include bending stress, contact stress and a constant distance between gear centers.
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Note that by the singular values of the operator (L_{lambda}) we mean the eigenvalues and spectral singularities of the operator (L_{lambda}).
We investigate the properties of the singular values of the quantised derivatives of essentially bounded functions on Rd with d>1.
The algebraic equations for eigenvalues and singular values of the asymmetric, symmetric and anti-symmetric systems are given.
Stability robustness is demonstrated by applying a constraint to the singular values of the matrix return difference.
An analysis shows the importance of the singular values of the mobility matrices in determining the error due to simplifications.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com