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A matrix pencil approach to the local stability analysis of non‐linear circuits
Author(s) -
Riaza Ricardo
Publication year - 2004
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.258
Subject(s) - matrix pencil , pencil (optics) , electronic circuit , stability (learning theory) , matrix (chemical analysis) , state space , network analysis , context (archaeology) , linear circuit , computer science , mathematics , topology (electrical circuits) , control theory (sociology) , equivalent circuit , engineering , electrical engineering , voltage , physics , materials science , composite material , biology , paleontology , quantum mechanics , machine learning , mechanical engineering , eigenvalues and eigenvectors , statistics , combinatorics , artificial intelligence , control (management)
This paper addresses local stability issues in non‐linear circuits via matrix pencil theory. The limitations of the state–space approach in circuit modelling have led to semistate formulations, currently framed within the context of differential‐algebraic equations (DAEs). Stability results for these DAE models can be stated in terms of matrix pencils, avoiding the need for state–space reductions which are not advisable in actual circuit simulation problems. The stability results here presented are applied to electrical circuits containing non‐linear devices such as Josephson junctions or MOS transistors. Copyright © 2004 John Wiley & Sons, Ltd.