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New return difference matrix
Author(s) -
Acar C.
Publication year - 1975
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490030109
Subject(s) - mathematics , matrix difference equation , matrix function , matrix (chemical analysis) , symmetric matrix , mathematical analysis , differential equation , physics , riccati equation , eigenvalues and eigenvectors , materials science , quantum mechanics , composite material
In this paper, a new return difference matrix is defined. The partial loop difference and the signal‐flow graph determinant are extended to the partial loop difference matrix and to the matrix signal‐flow graph determinant. It is shown that the matrix signal‐flow graph determinant is invariant for any order of node numbering. Using this property, a general relation for system function is derived. Finally, it is shown that, the return difference matrix, the null return difference matrix and complementary return difference matrix are special values of the new return difference matrix.