Sensitivity: Old Questions, Some New Answers

Parker, S.

doi:10.1109/tct.1971.1083213

Cited by 15 publications

(1 citation statement)

References 25 publications

(39 reference statements)

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“…The formulas for the sensitivities are integral formulas, i.e., in evaluating the sensitivities with respect to k variables, k integrations have to be performed after analyzing the original and adjoint networks. Other methods can be used to evaluate the sensitivities [137] but they do not appear easier or more efficient than the adjoint-network approach.…”

Section: Analog Circuits: Derivative Evaluationmentioning

confidence: 99%

Optimization of electrical circuits

Rizk

1979

Mathematical Programming Studies

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This paper reviews applications of optimization methods in the area of electrical circuit design. It is addressed to engineers in general as well as mathematical programmers. As a consequence, a brief introduction to electrical circuits is presented, including analog, digital and power concepts. Network analysis techniques along with response evaluation and the determination of partial derivatives (useful in gradient methods of optimization) provide the nonelectrical reader with some necessary background. Different types of specifications which may be imposed, for design purposes, on network performance are presented. The approaches by many contributors to optimal circuit design are outlined, concentrating on general methods within the domain of nonlinear programming, nonlinear approximation and nonlinear discrete optimization techniques. A complete section is devoted to recent work in design centering, optimal assignment of manufacturing tolerances and postproduction tuning. The inclusion of model and environmental uncertainties is discussed. Practical examples illustrate the current state of the art. Difficulties facing the design optimizer as well as directions of possible future research are elaborated on. A long but by no means exhaustive list of references is appended. --c "o E X X X X X X X XX XX X X X XX X X X X Z X X X >4 X~ XX Z X XX X X X X X X X X X X X o o = ~ =~.~ ~.~ o.~ ~ o = 6 _o-i= "a ~,

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Section: Analog Circuits: Derivative Evaluationmentioning

confidence: 99%

Optimization of electrical circuits

Rizk

1979

Mathematical Programming Studies

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Statistical multiparameter sensitivity measure of gain and phase functions

Acar

Ghausi

1977

Circuit Theory & Apps

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SUMMARYStatistical multiparameter sensitivity proposed by Rosenblum and Ghausi, for transfer function of a linear system, has been studied with regard to gain and phase sensitivities. It is shown that for small element changes a very simple relationship exists between these quantities. The integrand of these sensitivities are furthermore equivalent to the variance of magnitude and phase variations. Finally general formulas are derived which would simplify calculations for gain, phase as well as the transfer function. These formulas are helpful in optimization and comparison of various low sensitivity networks.

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The first variation of the scattering matrix

Helton

Ralston

1976

Journal of Differential Equations

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Sensitivity: Old Questions, Some New Answers

Cited by 15 publications

References 25 publications

Optimization of electrical circuits

Optimization of electrical circuits

Statistical multiparameter sensitivity measure of gain and phase functions

The first variation of the scattering matrix

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