Topological analysis and synthesis of linear systems

✍ Scribed by S. Bellert

• Publisher: Elsevier Science
• Year: 1962
• Tongue: English
• Weight: 922 KB
• Volume: 274
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(62)90042-x

✦ Synopsis

A new method is presented, namely, the so-called algebra of structural numbers which facilitates the analysis of linear electrical systems. This is a continuation of the idea proposed by Wang and Woiniacki.

The algebra of structural numbers makes it possible to solve in a general manner the problem of synthesis of a two-terminal or a four-terminal network.

By making use of a digital computer we can find a set of systems with different structures, which realize a given impedance function or transfer function.

The algebra of structural numbers can also be applied, aside from electrical engineering, to solving linear algebraic equations. Moreover, it gives us a very simple algorithm for determination of all possible trees of a graph or multigraph.