TY - GEN
A1 - Reinschke, Kurt
A2 - Fliess, Michel - ed.
A2 - Jai, Abdelhaq El - ed.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - This paper gives an overview of the formulation and solution of network equations, with emphasis on the historical development of this area. Networks are mathematical models. The three ingredients of network descriptions are discussed. It is shown how the network equations of one-dimensional multi-port networks can be formulated and solved symbolically.
N2 - If necessary, the network graph is modified so as to obtain an admittance representation for all kinds of multi-ports. N-dimensional networks are defined as graphs with the algebraic structure of N-dimensional vectors. In civil engineering, framed structures in two and three spatial dimensions can be modeled as 3-dimensional or 6-dimensional networks. The separation of geometry from topology is a characteristic feature of such networks.
L1 - http://www.zbc.uz.zgora.pl/Content/58764/AMCS_2001_11_1_11.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/58764
KW - history of network theory
KW - network graphs
KW - network equations
KW - modified nodal analysis
KW - admittance representation of multi-ports
KW - multidimensional networks
T1 - On network models and the symbolic solution of network equations
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=58764
ER -