Title :
Direct variational solutions for linear dissipative networks
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Union Coll., Schenectady, NY, USA
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;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100408
