Some invariant sums of higher‐order sensitivities

In this paper, a new class of invariant sensitivity sums of higher‐order sensitivities is given. Sensitivity sums considered are relevant to a network function of general lumped time‐invariant circuits containing passive and active elements. It is assumed that the circuit is linear and consists of one‐port elements and two‐port elements only. A part of the one‐port elements is described by admittance parameters and the other part by impedance parameters. The rest of the one‐port elements are independent sources. Two‐port elements are only controlled sources. Hybrid matrix should describe functional relationships of the elements. Formulas for invariant sums of sensitivities of first, second, third, and fourth order are presented. Copyright © 2008 John Wiley & Sons, Ltd.