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Prof. Dr. Achim Ilchmann

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Veröffentlichungen

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Winkler, Henrik;
Two-dimensional Hamiltonian systems. - In: Basel : Springer Reference, (2015), S. 525-547

Trunk, Carsten;
Locally definitizable operators: the local structure of the spectrum. - In: Basel : Springer Reference, (2015), S. 241-259

Reis, Timo; Selig, Tilman;
Zero dynamics and root locus for a boundary controlled heat equation. - In: Mathematics of control, signals, and systems : MCSS.. - London : Springer, ISSN 1435-568X, Bd. 27 (2015), 3, S. 347-373

https://doi.org/10.1007/s00498-015-0143-4
Berger, Thomas; Trunk, Carsten; Winkler, Henrik
Linear relations and the Kronecker canonical form. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2015. - Online-Ressource (PDF-Datei: 27 S., 402 KB). . - (Preprint. - M15,05)

We show that the Kronecker canonical form (which is a canonical decomposition for pairs of matrices) is the representation of a linear relation in a finite dimensional space. This provides a new geometric view upon the Kronecker canonical form. Each of the four entries of the Kronecker canonical form has a natural meaning for the linear relation which it represents. These four entries represent the Jordan chains at finite eigenvalues, the Jordan chains at infinity, the so-called singular chains and the multi-shift part. Or, to state it more concise: For linear relations the Kronecker canonical form is the analogue of the Jordan canonical form for matrices.



http://www.db-thueringen.de/servlets/DocumentServlet?id=26272
Berger, Thomas; Ilchmann, Achim; Wirth, Fabian
Zero dynamics and stabilization for analytic linear systems. - In: Acta applicandae mathematicae : an international survey journal on applying mathematics and mathematical applications.. - [S.l.] : Proquest, ISSN 1572-9036, Bd. 138 (2015), 1, S. 17-57

http://dx.doi.org/10.1007/s10440-014-9956-2
Worthmann, Karl; Kellett, Christopher M.; Braun, Philipp; Grüne, Lars; Weller, Steven R.
Distributed and decentralized control of residential energy systems incorporating battery storage. - In: IEEE transactions on smart grid. - New York, NY : IEEE, Bd. 6 (2015), 4, S. 1914-1923

http://dx.doi.org/10.1109/TSG.2015.2392081
Reis, Timo; Selig, Tilman
Funnel control for the boundary controlled heat equation. - In: SIAM journal on control and optimization. - Philadelphia, Pa. : Soc., ISSN 1095-7138, Bd. 53 (2015), 1, S. 547-574

http://dx.doi.org/10.1137/140971567
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Trunk, Carsten
The effect of finite rank perturbations on Jordan chains of linear operators. - In: Linear algebra and its applications : LAA.. - New York, NY : American Elsevier Publ., Bd. 479 (2015), S. 118-130

http://dx.doi.org/10.1016/j.laa.2015.04.007
Ilchmann, Achim; Reis, Timo
. - Surveys in differential-algebraic equations ; 2. - Cham [u.a.] : Springer, 2015. - VII, 339 S.. . - (Differential-algebraic equations forum, DAE-F) - Literaturangaben

Selig, Tilman;
Controller reduction by H∞ balanced truncation for infinite-dimensional, discrete-time systems. - In: Mathematics of control, signals, and systems : MCSS.. - London : Springer, ISSN 1435-568X, Bd. 27 (2015), 1, S. 111-147
- Im Titel ist "∞" tiefgestellt

https://doi.org/10.1007/s00498-014-0137-7