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- W1982087914 abstract "The dynamical behaviour of nonlinear electrical circuits is usually modelled in the time domain by differential–algebraic equations (DAEs). The differential–algebraic formalism drives qualitative analyses based on linearization to a matrix pencil setting. In this context, the present paper performs a spectral analysis of matrix pencils and DAEs arising in nonlinear circuit theory. Specifically, the non-singularity, hyperbolicity and asymptotic stability of equilibria are addressed in terms of circuit topology. The differential–algebraic framework puts the results beyond those already known for state-space models, unfeasible in many actual problems. The topological conditions arising in this qualitative study are proved independent of those supporting the index, and therefore they apply to both index-1 and index-2 configurations. The approach illustrates how graph theory, matrix analysis and DAE theory interact in the dynamical study of nonlinear circuits." @default.
- W1982087914 created "2016-06-24" @default.
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- W1982087914 date "2007-05-23" @default.
- W1982087914 modified "2023-10-16" @default.
- W1982087914 title "Qualitative features of matrix pencils and DAEs arising in circuit dynamics" @default.
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- W1982087914 doi "https://doi.org/10.1080/14689360600834557" @default.
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