DocumentCode
1627137
Title
Direct variational solutions for linear dissipative networks
Author
Fatic, Vuk M.
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., Union Coll., Schenectady, NY, USA
fYear
1989
Firstpage
535
Abstract
Three Lagrangians for dissipative linear systems (the multiplier, the image, and the Lagrangian functional) are scrutinized as bases for obtaining approximate solutions via direct methods of variational calculus. Approximate solutions for a linear one-dimensional dissipative oscillator are compared with the exact solution in order to determine the accuracy of the approximations provided by the three Lagrangians. The test functions, in the form of a one-parameter family of cubic parabolas, provide generally satisfactory solutions
Keywords
linear network analysis; variational techniques; Lagrangian functional; Lagrangian image; Lagrangian multiplier; approximate solutions; approximation accuracy; cubic parabolas; dissipative linear systems; exact solution; linear one-dimensional dissipative oscillator; one-parameter family; test functions; variational calculus direct methods; Calculus; Circuits; Educational institutions; Integral equations; Lagrangian functions; Linear systems; Oscillators; Resistors; Testing; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location
Portland, OR
Type
conf
DOI
10.1109/ISCAS.1989.100408
Filename
100408
Link To Document