Title :
Algorithm for the evaluation of (sI-A)-1 B from signal-flow graphs not involving the complex variable s
Author_Institution :
Technical University of Istanbul, Faculty of Electrical Engineering, Istanbul, Turkey
Abstract :
A method of evaluating the Laplace transform of the state vector by a simple signal-flow graph of the state equations is presented. The coefficients of the numerator and denominator polynomials in Mason´s gain formula are obtained from sub-graphs whose transmittances are real numbers.
Keywords :
Laplace transforms; graph theory; matrix algebra; Laplace transform; Mason´s gain formula; polynomials; simple signal flow graphs; state vector; subgraphs; transmittances;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19750178
