The Mondshein sequence. - In: Automata, Languages, and Programming, (2014), S. 967-978
http://dx.doi.org/10.1007/978-3-662-43948-7_80
Properly optimal elements in vector optimization with variable ordering structures. - In: Journal of global optimization, ISSN 1573-2916, Bd. 60 (2014), 4, S. 689-712
https://doi.org/10.1007/s10898-013-0132-4
A growth condition for Hamiltonian systems related with Krein strings. - In: Acta scientiarum mathematicarum, ISSN 2064-8316, Bd. 80 (2014), 1/2, S. 31-94
http://dx.doi.org/10.14232/actasm-012-028-8
The invertibility of 2 x 2 operator matrices. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2014. - Online-Ressource (PDF-Datei: 19 S., 305 KB). - (Preprint ; M14,10)
In this paper the properties of right invertible row operators, i.e., of 1x2 surjective operator matrices are studied. This investigation is based on a specific space decomposition. Using this decomposition, we characterize the invertibility of a 2x2 operator matrix. As an application, the invertibility of Hamiltonian operator matrices is investigated.
http://www.db-thueringen.de/servlets/DocumentServlet?id=25047
Variational principles for self-adjoint operator functions arising from second-order systems. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2014. - Online-Ressource (PDF-Datei: 30 S., 455 KB). - (Preprint ; M14,09)
http://www.db-thueringen.de/servlets/DocumentServlet?id=25046
Multi-objective optimization in the Lorentz force velocimetry framework. - In: Book of digests & program, (2014), S. 81-82
Ekeland's variational principle for vector optimization with variable ordering structure. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2014. - Online-Ressource (PDF-Datei: 24 S., 351 KB). - (Preprint ; M14,08)
There are many generalizations of Ekeland's variational principle for vector optimization problems with fixed ordering structures, i.e., ordering cones. These variational principles are useful for deriving optimality conditions, epsilon-Kolmogorov conditions in approximation theory, and epsilon-maximum principles in optimal control. Here, we present several generalizations of Ekeland's variational principle for vector optimization problems with respect to variable ordering structures. For deriving these variational principles we use nonlinear scalarization techniques. Furthermore, we derive necessary conditions for approximate solutions of vector optimization problems with respect to variable ordering structures using these variational principles and the subdifferential calculus by Mordukhovich.
http://www.db-thueringen.de/servlets/DocumentServlet?id=24755
Stability and feasibility of state constrained MPC without stabilizing terminal constraints. - In: Systems & control letters, ISSN 1872-7956, Bd. 72 (2014), S. 14-21
http://dx.doi.org/10.1016/j.sysconle.2014.08.002
Erweitertes TI-Verfahren für eine präzisere Erfassung der physiologischen Blendung. - In: Licht 2014, (2014), insges. 8 S.
Outer transfer functions of differential-algebraic systems. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2014. - Online-Ressource (PDF-Datei: 39 S., 403,1 KB). - (Preprint ; M14,07)
We consider differential-algebraic systems whose transfer function is outer: i.e., it has full row rank and all transmission zeros lie in the closed left half complex plane. We characterize outer, with the aid of the Kronecker structure of the system pencil and the Smith-McMillan structure of the transfer function, as the following property of a behavioural stabilizable and detectable realization: each consistent initial value can be asymptotically controlled to zero while the output can be made arbitrarily small in the L2-norm. The zero dynamics of systems with outer transfer functions are analyzed. We further show that our characterizations of outer provide a simple and very structured analysis of the linear-quadratic optimal control problem.
http://www.db-thueringen.de/servlets/DocumentServlet?id=24704