Decoupling of Abstract DAEs

Timo Reis,

Corresponding Author

Timo Reis

[email protected]

Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin

Phone: +00 49 314 25004, Fax: +00 49 314 21264Search for more papers by this author

Timo Reis,

Corresponding Author

Timo Reis

[email protected]

Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin

Phone: +00 49 314 25004, Fax: +00 49 314 21264Search for more papers by this author

First published: 23 January 2007

https://doi.org/10.1002/pamm.200610397

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Abstract

We consider linear and time-invariant abstract differential-algebraic equations (DAEs) which are equations of the form E (t) = Ax (t) + f (t), x (0) = x₀. x (·) and f (·) are functions with values in Hilbert spaces X and Z and the operator E: X → Z is assumed to be bounded, whereas A is closed and defined on some dense subspace D (A). Motivated by the Kronecker normal form for the finite dimensional case, the decoupling of abstract DAEs is investigated. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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