Title :
Direct variational solutions for linear dissipative oscillator using Lagrangian with reverse time scales
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Union Coll., Schenectady, NY
Abstract :
A new Lagrangian with reverse time scales is used for direct variational approximation of the solution of a linear dissipative oscillator. Very accurate global approximations are obtained by polynomial test functions of low order. The main goal of the present work is to verify a novel method for variational formulation of dissipative systems. It is. concluded that the new Lagrangian is not only correct, but is also a reliable tool for direct variational solutions of both boundary-value and initial-value problems
Keywords :
boundary-value problems; initial value problems; linear network analysis; oscillators; polynomials; variational techniques; Lagrangian; boundary-value; direct variational approximation; initial-value problems; linear dissipative oscillator; polynomial test functions; reverse time scales; Boundary conditions; Boundary value problems; Educational institutions; Equations; Lagrangian functions; Linearity; Oscillators; Polynomials; System testing; Time varying systems;
Conference_Titel :
Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-0620-1
DOI :
10.1109/MWSCAS.1991.252041
