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The first order sensitivity logarithmic functions are used to tune the conventional absorber and the parametric absorber.
A first order sensitivity matrix relates natural frequency changes in both the open- and closed-loop systems to damage variables and is evaluated from an analytic model.
Moreover, the dependence of robust stability on the fractional order perturbation is analyzed by calculating the order sensitivity of characteristic polynomials.
The solver provides guaranteed bound on the objective function and on the first order sensitivity equations in a branch and bound framework.
Thus, the authors have developed first order Taylor expansions and the first order sensitivity analysis involved in order to reduce the CPU time required.
The first order sensitivity analysis of parametric periodic systems in the time domain is applied to obtain logarithmic sensitivity functions in the frequency domain.
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As outputs, the total-order sensitivity indexes were calculated.
In [31], the higher-order sensitivity was consider by using the mth-order contingent-type derivatives.
A second-order sensitivity analysis via the second-order contingent derivatives were considered in [17, 18].
Analytical formulas for the first- and second-order sensitivity analysis are derived.
The drawback of this improvement is that only individual first-order sensitivity indices can be computed.
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CEO of Professional Science Editing for Scientists @ prosciediting.com