REALIZATION OF THE A-MATRIX OF HALFDEGENERATE RLC NETWORKS,
Abstract
The necessary and sufficient conditions for a matrix to be realizable as the A-matrix of an RLC network are developed. The RLC network is assumed to be nondegenerate or half-degenerate and is assumed to have a connected resistive part. First it is shown that if there exists a realization then the given matrix A can be factored into two matrices: one a diagonal matrix of positive entries and the other a symmetric-skewsymmetric (hybrid) matrix. It is shown that the given matrix A has a realization with a half-degenerate or non-degenerate RLC network which has a connected resistive part if and only if the factorization exists and both the terminal matrix and the circuit matrix are realizable. It is also shown that for a certain factorization if a realization exists, then the reactive part is unique within two-isomorphism and the resistive part can always be reduced to a complete polygon in general. In an appendix, a way of writing the A-matrix by inspection in the active half-degenerate RLC case is given and the necessary and sufficient conditions that the order of complexity be equal to the number of reactive elements in the network are developed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1964
- Accession Number
- AD0603686
Entities
People
- Ahmet Dervisoglu
Organizations
- University of Illinois Urbana–Champaign