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• # Artykuł - szczegóły

## International Journal of Applied Mathematics and Computer Science

2001 | 11 | 1 | 237-269

## On network models and the symbolic solution of network equations

EN

### Abstrakty

EN
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. 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.

EN

237-269

wydano
2001
otrzymano
2000-09-01
poprawiono
2001-01-01

### Twórcy

autor
• Institut fur Regelungs- und Steuerungstheorie, Technische Universitat Dresden, Mommsenstr. 13, D-01062 Dresden, Germany

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