Multiparameter sensitivity problems in network theory

The paper presents a survey of the literature as it pertains to the problem of multiparameter sensitivity in network theory. In particular, a critical appraisal is made of several multiparameter sensitivity functions, and the problems involved in their computation are considered. Several procedures for their evaluation are described, with attention focused on the auxilliary network approach of Leeds and Ugron and the adjoint network approach of Director and Rohrer. Another approach considered is the so-called direct approach, in which an algorith, is used to obtain directly the partial derivaties of the network function.

[1]  I. W. Sandberg.  On the theory of linear multi-loop feedback systems , 1963 .

[2]  H. Keller,et al.  Analysis of Numerical Methods , 1969 .

[3]  I. Horowitz.  Synthesis of feedback systems , 1963 .

[4]  Jr. J. Leeds.  Transient and Steady-State Sensitivity Analysis , 1966 .

[5]  R. Rohrer.  The Generalized Adjoint Network and Network Sensitivities , 1969 .

[6]  J. W. Walker,et al.  Direct solutions of sparse network equations by optimally ordered triangular factorization , 1967 .

[7]  T.B.M. Neill.  Sensitivity analysis in computer-aided design of linear circuits , 1968 .

[8]  E. Kuh,et al.  Sensitivity Invariants of Continuously Equivalent Networks , 1968 .

[9]  A. Goldstein,et al.  Multiparameter Sensitivity , 1961 .

[10]  A. Holt,et al.  Summed sensitivity of active networks , 1968 .

[11]  G. A. Richards.  Second-derivative sensitivity using the concept of the adjoint network , 1969 .

[12]  G. Schmidt,et al.  On Minimum Sensitivity Networks , 1967, IEEE Transactions on Circuit Theory.

[13]  J. Schoeffler.  The Synthesis of Minimum Sensitivity Networks , 1964 .

[14]  W. Lynch,et al.  A formulation of the sensitivity function , 1957 .

[15]  W. J. Butler,et al.  Program for obtaining exact sensitivity functions , 1970 .

[16]  Samuel J. Mason,et al.  Feedback Theory-Some Properties of Signal Flow Graphs , 1953, Proceedings of the IRE.

[17]  M. Blostein,et al.  Sensitivity Analysis of Parasitic Effects in Resistance Terminated LC Two-Ports , 1967, IEEE Transactions on Circuit Theory.

[18]  T.B.M. Neill.  Comment on Efficient method for the calculation of first- and second-order network sensitivities , 1969 .

[19]  R. Rohrer,et al.  Automated Network Design-The Frequency-Domain Case , 1969 .

[20]  S. S. Haykin,et al.  Multiparameter sensitivity indexes of performance for linear time-invariant networks , 1970 .

[21]  J. Leeds,et al.  Simplified Multiple Parameter Sensitivity Calculation and Continuously Equivalent Networks , 1967, IEEE Transactions on Circuit Theory.

[22]  L. Weinberg,et al.  Automatic Feedback Control System Synthesis , 1956 .

[23]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .