Title :
Nonlinear infinite networks and related open problems
Author_Institution :
State University of New York at Stony Brook, Stony Brook, NY
Abstract :
A brief survey is made of the current research status of the theory of nonlinear infinite electrical networks. Special attention is paid to the computational methods of solving for currents and voltages and to how such networks arise as realizations of the finite-difference approximations of nonlinear partial differential equations with infinite domains. Various open problems are described.
Keywords :
Computer networks; Electrical engineering; Extremities; Finite difference methods; H infinity control; Kirchhoff´s Law; Mathematical analysis; Power transmission lines; Resistors; Voltage control;
Conference_Titel :
Decision and Control, 1985 24th IEEE Conference on
Conference_Location :
Fort Lauderdale, FL, USA
DOI :
10.1109/CDC.1985.268775
