New Results in the Least pth Approach to Minimax Design

Charalambous, C.; Chen, J.H.K.; Chu, W.Y.

doi:10.1109/tmtt.1976.1128785

Cited by 10 publications

(4 citation statements)

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“…Charalambous [66] and Bandler et al [25,26] took ~r+~ to be the lower bound on the maximum predicted under convexity assumptions after each optimization. The constant ~r is used as a lower bound for the (r+ 1)th optimization so that all the functions less than this constant are discarded and considered inactive.…”

Section: Algorithm 21mentioning

confidence: 99%

“…Recently, Bandler et al [26,40,78] used extrapolation to p = 0% after performing least pth approximation with different values of p, with ui = 1, i = 1,2 ..... n, to obtain the :minimax solution. The algorithm, called the p algorithm, has been implemented in a user-oriented package called FLOPT4 [40], which is currently used for solving many engineering design problems.…”

Section: Algorithm 21mentioning

confidence: 99%

“…It is a special case of an N-section transmission-line transformer. Originally studied by Bandler and developed into a family of test problems by Bandler and Macdonald [36,37], this type of test problem is now widely considered [22,23,26,36,37,40,43,73,93,94,126,127,128]. The variables are the lengths and the characteristic impedances of the transmission lines.…”

Section: Examples Of Least Pth Optimizationsmentioning

confidence: 99%

“…10 with given specifications on the insertion loss in the passband and the stopband. Bandler et al [26] took the lengths of the transmission lines to be fixed while the characteristic impedances were variables. Twenty-one uniformly spaced passband points were considered but, due to symmetry, only the first ten were used.…”

Section: Examples Of Least Pth Optimizationsmentioning

confidence: 99%

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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: Algorithm 21mentioning

confidence: 99%