Topological analysis of active networks containing pathological mirror elements

A Cancellation-Free Symbolic Sensitivity Technique Based on Network Determinant Expansion

“…We propose in this paper the generalization of Hoang formula and Bode's technique for all types of transfer functions and circuit elements, based on implementation of the concept of higher order summative cofactors (HOSC) [12][13][14][15] instead of ordinary algebraic cofactors and computation of HOSC by means of GPEM [16][17][18][19][20][21].…”

“…where Δ = Δ ( +0)( +0) , Δ = Δ ( +0)( +0) , and so on. In accordance with GPEM basis [16][17][18][19][20][21] we consider the sums of row (column) indexes as a result of nullator (norator) connection to the network nodes corresponding to the indexes.…”

“…In this paper we propose a cancellation-free symbolic sensitivity technique for computation of compact expression. The first-and second-order symbolic sensitivities formulas for all types of the transfer functions and circuit elements are derived by means of the concept of higher order summative cofactors (HOSC) [12][13][14][15] and generalized parameter extraction method (GPEM) [16][17][18][19][20][21] to avoid drawbacks of the previous methods mentioned above.…”

Equivalent transformations of trees with nullor and mirror pathological elements

“…Then we will subtract the second equation from the first one in (10). Again, this subtraction can be shown with opposite tags for these nodes.…”

“…1(d) correspondingly. VM and CM are successfully used in the analysis and synthesis of electronic circuits [7]- [10]. Unlike the nullor, these elements have three poles (one of which is ground).…”