Accession Number : AD0433495


Title :   GENERAL TOPOLOGICAL ANALYSIS OF LINEAR SYSTEMS,


Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB


Personal Author(s) : Chen,Wai-Kai


Report Date : Jan 1964


Pagination or Media Count : 66


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)


Descriptors :   *TOPOLOGY , *NETWORKS , LINEAR SYSTEMS , DETERMINANTS(MATHEMATICS) , CONFORMAL MAPPING , ELECTRICAL IMPEDANCE , MATRICES(MATHEMATICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE