GENERAL TOPOLOGICAL ANALYSIS OF LINEAR SYSTEMS,
Abstract
The material in this thesis can be divided into two major parts: the first part deals with methods of simplification of flow graphs, and the second part deals with general topological analysis of network determinants. It is shown that a general network determinant can be evaluated by means of directed trees and directed 2-trees. There is no sign problem. The products of such directed trees and directed 2-trees will automatically give the correct signs. Furthermore, this new method can be applied to either the node-admittance matrix or the loop-impedance matrix. Some applications of directed linear graphs, such as determining the stability of a system and inverting matrices, are also discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1964
- Accession Number
- AD0433495
Entities
People
- Wai-kai Chen
Organizations
- University of Illinois Urbana–Champaign