Derivation of Physically Motivated Constraints for Efficient Interval Simulations Applied to the Analysis of Uncertain Dynamical Systems
By: Mareile Freihold and Eberhard Hofer
Open Access
|Sep 2009References
- Bendsten, C. and Staunting, O. (2007). FADBAD++, Version 2.1, Available at:
- Boyd, S., Gosh, A. and Magnani, A. (2003). Branch and bound methods, Available at:
- Clausen, J. (1999). Branch and bound algorithms: Principles and examples, Available at:
- de Figueiredo, L. H., van Iwaarden, R. and Stolfi, J. (1997). Fast interval branch-and-bound methods for unconstrained global optimization with affine arithmetic,, Institute of Computing, University of Campinas, Campinas, Brazil.
- Hofer, E. P., Fan, Y. and Tibken, B. (1991a). Extraction of rules for model based estimation of granulocytopoiesis,M. Frik (Ed.),, Daun, Vulkaneifel, pp. 58-68.
- Hofer, E. P., Tibken, B. and Fliedner, T. M. (1991b). Modern control theory as a tool to describe the biomathematical model of granulocytopoiesis,D. Möller and O. Richter (Eds.),, Vol., Springer-Verlag, Berlin, pp. 33-39.
- Kearfott, R. B. (1992). An interval branch and bound algorithm for bound constrained optimization problems,(3): 259-280.
- Keil, C. (2007). Profil/Bias, Version 2.0.4, Available at:
- Maschke, B. M. and van der Schaft, A. J. (2000). Portcontrolled Hamiltonian representation of distributed parameter systems,N. E. Leonard and R. Ortega (Eds.),, pp. 28-38.
- Moore, R. E. (1964)., John Wiley & Sons, New York, NY.
- Nedialkov, N. S. (2007). Interval tools for ODEs and DAEs,, IEEE Computer Society, Los Alamitos, CA.
- Pfeiffer, F. and Reithmeier, E. (1987)., Teubner, Stuttgart, (in German).
- Rauh, A. (2008)., Fortschritt-Berichte VDI, Reihe 8, Nr. 1148, PhD thesis, University of Ulm, Ulm, (in German).
- Rauh, A., Auer, E. and Hofer, E. P. (2007). ValEncIA-IVP: A comparison with other initial value problem solvers,, IEEE Computer Society, Los Alamitos, CA.
- Rauh, A., Brill, M. and Günther, C. (2009). A novel interval arithmetic approach for solving differential-algebraic equations with ValEncIA-IVP,(3): 381-397.
- Singer, A. B. and Barton, P. I. (2006). Bounding the solutions of parameter dependent nonlinear ordinary differential equations,(6): 2167-2182.
- (2007). Houghton Mifflin Company, Boston, MA.
- van der Schaft, A. J. (2005). Network modeling and control of physical systems, DISC theory of port-Hamiltonian systems, Available at:
- van der Schaft, A. J. and Maschke, B. M. J. (2003). Port-Hamiltonian systems: A theory for modeling, simulation and control of complex physical systems, Available at:
Language: English
Page range: 485 - 499
Published on: Sep 24, 2009
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2009 Mareile Freihold, Eberhard Hofer, published by University of Zielona Góra
This work is licensed under the Creative Commons License.