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Computational assessment of methods to analytically obtain the transient response of LTI circuits
Author(s) -
BachillerSoler Alfonso,
RosendoMacías José Antonio,
GómezExpósito Antonio
Publication year - 2012
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.715
Subject(s) - vandermonde matrix , lti system theory , interpolation (computer graphics) , computer science , transient response , computational complexity theory , electronic circuit , mathematics , control theory (sociology) , mathematical optimization , linear system , algorithm , engineering , eigenvalues and eigenvectors , animation , mathematical analysis , physics , computer graphics (images) , electrical engineering , control (management) , quantum mechanics , artificial intelligence
SUMMARY This paper reviews and compares the computational cost of several methods to analytically obtain the natural response of linear time‐invariant (LTI) circuits. In particular, the analysis is focused on three methods: eigensystem‐based procedure, Vandermonde matrix method and Lagrange interpolation formula. The computational cost of repeated solutions, in which only the initial conditions change, is also studied. Finally, the computational cost of the eigensystem‐based approach, the winner of the analytical class of methods, is compared with that of the numerical integration approach for different number of integration steps and scenarios. Copyright © 2010 John Wiley & Sons, Ltd.