Publikationen von Prof. Dr. Fabian Wirth
Buchkapitel (1)
- B. Scholz-Reiter, F. Wirth, M. Freitag, S. Dashkovskiy, T. Jagalski, C. de Beer, B. Rüffer.
Mathematical models of autonomous logistic processes.
Understanding Autonomous Cooperation & Control in Logistics: The Impact of Autonomy on Management, Information, Communication and Material Flow , M. Hülsman, K. Windt (Hrsg.), S. 121-138, Springer Verlag, 2007.online unter: http://www.math.uni-bremen.de/~dsn/Publications/A5_Sammelband_V37.doc
Zeitschriftenartikel (8)
- B. Scholz-Reiter, S. Dashkovskiy, F. Wirth, M. Schönlein, M. Kosmykov, T. Makuschewitz.
A comparison of mathematical modelling approaches for stability analysis of supply chains.
International Journal of Logistics Systems and Management, 10(2):208-223, 2011. - S. Dashkovskiy, M. Kosmykov, F. Wirth.
A small gain condition for interconnections of ISS systems with mixed ISS characterizations.
IEEE Transactions on Automatic Control, 56(6):1247-1258, 2011.online unter: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5585718&tag=1
- S. Dashkovskiy, H. Ito, F. Wirth.
On a small gain theorem for ISS networks in dissipative Lyapunov form.
European Journal of Control, 17(4):357-365, 2011.online unter: http://ejc.revuesonline.com/article.jsp?articleId=16472
- B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, M. Schönlein, T. Makuschewitz, M. Kosmykov.
Structure-preserving model reduction of large-scale logistics networks - applications for supply chains.
The European Physical Journal B , 84(4):501-520, Springer Verlag, 2011.online unter: http://epjb.edpsciences.org/index.php?option=com_article&access=doi&doi=10.1140/epjb/e2011-10894-6&Itemid=129
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Small gain theorems for large scale systems and construction of ISS Lyapunov functions.
SIAM Journal on Control and Optimization, 48(6):4089-4118, 2010.online unter: http://www.math.uni-bremen.de/~dsn/Publications/Original/2010-SICON.pdf
- B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, T. Jagalski, T. Makuschewitz.
Analyse der Dynamik großskaliger Netzwerke in der Logistik.
Industrie Management, 24(3):37-40, 2008. - B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, T. Jagalski, T. Makuschewitz.
Die Dynamik komplexer Supply Chains.
EML Einkauf, Materialwirtschaft, Logistik, 48(9):10-13, 2008. - S. Dashkovskiy, B. Rüffer, F. Wirth.
An ISS Small Gain Theorem for General Networks.
Mathematics of Control, Signals and Systems, 19(2):93-122, 2007.online unter: http://www.math.uni-bremen.de/~dsn/Publications/MCSS.pdf
Preprints (9)
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Construction of ISS Lyapunov functions for networks.
Berichte aus der Technomathematik 06-06, Universität Bremen, 2006. - S. Dashkovskiy, B. Rüffer, F. Wirth.
An ISS Small-Gain Theorem for General Networks.
Berichte aus der Technomathematik 05-05, Universität Bremen, 2005. - N. Guglielmi, F. Wirth, M. Zennaro.
Complex polytope extremality results for families of matrices.
Berichte aus der Technomathematik 04-03, Universität Bremen, 2004. - F. Wirth.
A linearization principle for robustness with respect to time-varying pertubations.
Berichte aus der Technomathematik 01-06, Universität Bremen, 2001. - J. Behrens, F. Wirth.
A globalization procedure for locally stabilizing controllers.
Berichte aus der Technomathematik 00-09, Universität Bremen, 2000. - F. Camilli, L. Grüne, F. Wirth.
A regularization of Zubov's equation for robust domains of attraction.
Berichte aus der Technomathematik 00-06, Universität Bremen, 2000. - F. Wirth.
The generalized spectral radius and extremal norms.
Berichte aus der Technomathematik 00-16, Universität Bremen, 2000. - A. D. Paice, F. Wirth.
Robustness of nonlinear systems and their domains of attraction.
Berichte aus der Technomathematik 99-06, Universität Bremen, 1999. - L. Grüne, F. Wirth.
On the rate of convergence of infinite horizon discounted optimal value functions.
Berichte aus der Technomathematik 98-06, Universität Bremen, 1998.
Tagungsbeiträge (17)
- S. Dashkovskiy, M. Kosmykov, F. Wirth.
A small gain condition for interconnections of ISS systems with mixed ISS characterizations.
European Control Conference 2009, 23.08.-26.08.2009, Budapest, Ungarn.
Proceedings of the European Control Conference 2009, S. 1083-1088, 2009.online unter: http://www.math.uni-bremen.de/~dsn/Publications/2009-ECC-DKW-mixed_iss-final.pdf
- B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, M. Kosmykov, T. Makuschewitz, M. Schönlein.
An approach to model reduction of logistic networks based on ranking.
2nd International Conference on Dynamics in Logistics, 17.08.-21.08.2009, Bremen, Deutschland.
Erscheint in Proceedings of the 2nd International Conference on Dynamics in Logistics, Springer Verlag.online unter: http://www.math.uni-bremen.de/zetem/cms/media.php/256/2009-LDIC-RWDKMS.pdf
- B. Scholz-Reiter, M. Schönlein, F. Wirth, S. Dashkovskiy, T. Makuschewitz, M. Kosmykov.
Application of the PageRank algorithm for ranking locations of a production network.
42nd CIRP Conference on Manufacturing Systems , 03.06.-05.06.2009, Grenoble, Frankreich.
Proceedings of the 42nd CIRP Conference on Manufacturing Systems, 2009.online unter: http://www.math.uni-bremen.de/zetem/cms/media.php/256/2009-CIRP-RWDMKS.pdf
- S. Dashkovskiy, H. Ito, F. Wirth.
On a small gain theorem for ISS networks in dissipative Lyapunov form.
European Control Conference 2009, 23.08.-26.08.2009, Budapest, Ungarn.
Proceedings of the European Control Conference 2009, S. 1077-1082, 2009.online unter: http://www.math.uni-bremen.de/~dsn/Publications/2009-ECC-DIW-dissipative-final.pdf
- H. Ito, S. Dashkovskiy, F. Wirth.
On A Small Gain Theorem for Networks of iISS Systems.
48th IEEE Conference on Decision and Control, 16.12.-18.12.2009, Shanghai, China.
Proceedings of the 48th IEEE Conference on Decision and Control, S. 4210-4215, 2009.online unter: https://www.math.uni-bremen.de/zetem/cms/media.php/210/1424.pdf
- B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, M. Kosmykov, T. Makuschewitz, M. Schönlein.
Some remarks on stability and robustness of production networks based on fluid models.
2nd International Conference on Dynamics in Logistics, 17.08.-21.08.2009, Bremen, Deutschland.
Erscheint in Proceedings of the 2nd International Conference on Dynamics in Logistics, Springer Verlag.online unter: http://www.math.uni-bremen.de/zetem/cms/media.php/256/2009-LDIC-fluid.pdf
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Application of small gain type theorems in logistics of autonomous processes.
1st International Conference on Dynamics in Logistics, 28.08.-30.08.2007, Bremen, Deutschland.
Proceedings of the 1st International Conference on Dynamics in Logistics, S. 359-366, Springer Verlag, 2008.online unter: http://www.springer.com/cda/content/document/cda_downloaddocument/9783540768616-t1.pdf?SGWID=0-0-45-533901-p173798526
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Applications of the general Lyapunov ISS small-gain theorem for networks.
47th IEEE Conference on Decision and Control, 12.12.-14.12.2008, Cancún, Mexiko.
Proceedings of the 47th IEEE Conference on Decision and Control, S. 25-30, 2008.online unter: http://www.math.uni-bremen.de/~dsn/Publications/2008-CDC-DRW-applications.pdf
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Stability of autonomous vehicle formations using an ISS small-gain theorem for networks.
79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 31.03-04.04.2008, Bremen, Deutschland.
Proceedings in Applied Mathematics and Mechanics, 8(1):10911-10912, 2008.online unter: http://www.math.uni-bremen.de/~dsn/Publications/2008-PAMM-DRW-Formations.pdf
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Stability of interconnections of ISS systems.
SICE 8th Annual Conference on Control Systems, 05.03.-07.03.2008, Kyoto, Japan.
Proceedings of the 8th Annual Conference on Control Systems, S. 52431-52434, 2008. - S. Dashkovskiy, B. Rüffer, F. Wirth.
A Lyapunov small-gain theorem for stronlgy connected networks.
7th IFAC Symposium on Nonlinear Control Systems, 22.08.-24.08.2007, Pretoria, Südafrika.
Proceedings of the 7th IFAC Symposium on Nonlinear Control Systems, S. 283-288, 2007.online unter: http://www.math.uni-bremen.de/~dsn/Publications/final-nolcos-iss-lyapunovfunctions.pdf
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Numerical Verification of local input-to-state stability for large networks.
46th IEEE Conference on Decision and Control, 12.12.-14.12.2007, New Orleans, USA.
Proceedings of the 46th IEEE Conference on Decision and Control, S. 4471-4476, 2007.online unter: http://www.math.uni-bremen.de/~dsn/Publications/2007-cdc-drw-numerical-liss-final.pdf
- S. Dashkovskiy, B. Rüffer, F. Wirth.
An ISS Lyapunov Function for Networks of ISS Systems.
17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), 24.07.-28.07.2006, Kyoto, Japan.
Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, S. 77-82, 2006.online unter: http://www.math.uni-bremen.de/~dsn/Publications/MTNS-Lyapunov.pdf
- S. Dashkovskiy, F. Wirth, T. Jagalski.
Autonomous control in Shop Floor Logistics: Analytic models.
IFAC Conference on Manufacturing, Modelling, Management and Control, 21.10.-22.10.2004, Athen, Griechenland.
Manufacturing, Modelling, Management and Control 2004, G. Chryssolouris , D. Mourtzis (Hrsg.), Elsevier, 2006.online unter: http://www.math.uni-bremen.de/~dsn/Publications/ifac_Athen3.pdf
- S. Dashkovskiy, B. Rüffer, F. Wirth.
Discrete time monotone systems: Criteria for global asymptotic stability and applications.
17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), 24.07.-28.07.2006, Kyoto, Japan.
Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, S. 89-97, 2006.online unter: http://www.math.uni-bremen.de/~dsn/Publications/MTNS-Monotone.pdf
- B. Scholz-Reiter, F. Wirth, M. Freitag, S. Dashkovskiy, T. Jagalski, C. de Beer, B. Rüffer.
Some remarks on the stability of production networks. Stability margins.
Operations Research 2005, 07.09.-09.09.2005, Bremen, Deutschland.
Operations Research Proceedings 2005, S. 91-96, Springer Verlag, 2006.online unter: https://www.math.uni-bremen.de/zetem/cms/media.php/256/SFB637-A5-05-005-IC-1.pdf
- S. Dashkovskiy, B. Rüffer, F. Wirth.
A Small-Gain type stability criterion for large scale networks of ISS systems.
44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, 12.12.-15.12.2005, Sevilla, Spanien.
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, S. 5633-5638, 2005.online unter: http://www.math.uni-bremen.de/~dsn/Publications/CDCECC05.pdf