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Vu Hoang Linh, Vietnam National University, Hanoi, Vietnam
  Joint work with V. Mehrmann (TU  Berlin)

Title: Spectral intervals for differential-algebraic equations

Time:    Wednesday, Jun  3, 2009, 11am
Place:   Building 22, Room 1.28, Campus Neues Palais, Universitaet Potsdam

Abstract:

This talk is concerned with the Lyapunov and exponential dichotomy spectral theory which is
extended from ordinary differential equations (ODEs) to nonautonomous differential-algebraic
equations (DAEs).  By using orthogonal changes of variables, the original DAE system is
transformed into appropriate condensed forms, for which concepts such as Lyapunov exponents, Bohl
exponents, exponential dichotomy and spectral intervals of various kinds can be analyzed via the
resulting underlying ODE. Some essential differences between the spectral theory for ODEs and that
for DAEs are pointed out.  I will also discuss how numerical methods for computing the spectral
intervals associated with Lyapunov and Sacker-Sell (exponential dichotomy) spectra can be extended
from those methods proposed for ODEs. Some numerical examples are presented to illustrate the
theoretical results.

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