Direct assessment of transient singularity in differential-algebraic systems

C Singh,I.A Hiskens

doi:10.1109/iscas.2001.921282

Direct assessment of transient singularity in differential-algebraic systems

C Singh, I.A Hiskens

Open Access

https://doi.org/10.1109/iscas.2001.921282

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Publication Date: May 6, 2001

Citations: 11

Affiliation: University of Newcastle Australia

#Differential-algebraic Systems #Stability Boundary + Show 8 more

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Abstract

Characterization of the stability boundary of differential-algebraic (DAE) systems is more complicated than for systems described by ordinary differential equations (ODEs). In addition to unstable equilibria and periodic orbits, algebraic singularity plays an important role in defining the stability boundary. This paper presents a Lyapunov-based method for direct assessment of transient singularity, thus enabling estimation of the region of state-space where the system model remains valid.

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