Spectral analysis for linear differential-algebraic equations
Vu Hoang Linh Volker Mehrmann
Conference Publications 2011, 2011(Special): 991-1000 doi: 10.3934/proc.2011.2011.991
In this paper, the spectral theory of linear di fferential-algebraic equations (DAEs) is discussed. Lyapunov and Sacker-Sell spectra, which are well known for ordinary diff erential equations (ODEs), are studied for linear DAEs and their adjoint equations. The spectral properties of the DAEs are investigated via the so-called essentially underlying ODEs.
keywords: di fferential-algebraic equation Sacker-Sell spectrum Lyapunov exponent underlying ODE exponential dichotomy.

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