Reis, T: Systems Theoretic Aspects of PDAEs and Applications
(Sprache: Englisch)
The dissertation is about a systematic treatment of coupled systems of differential-algebraic and partial differential equations. Whereas in systems theory, differential-algebraic control systems lead to descriptor systems and controlled partial...
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The dissertation is about a systematic treatment of coupled systems of differential-algebraic and partial differential equations. Whereas in systems theory, differential-algebraic control systems lead to descriptor systems and controlled partial differential equations lead to infinite dimensional ordinary systems, the coupling of both requires a theory about descriptor systems with an infinite dimensional state space.Topics like solvability, decoupling, consistent initialization, perturbation analysis, Kaiman controllability/observability decomposition are treated for infinite dimensional descriptor systems.The theoretic results have been applied to a quite general class of delay-differential equations as weil as for electrical circuits with transmission lines. Moreover, several practical interpretations of the analytic aspects are given by means of the circuit topology.
Bibliographische Angaben
- Autor: Timo Reis
- 2006, 250 Seiten, Maße: 14,9 x 21 cm, Kartoniert (TB), Englisch
- Verlag: Shaker
- ISBN-10: 3832253157
- ISBN-13: 9783832253158
Sprache:
Englisch
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