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Publikationen von Prof. Dr. Fabian Wirth

Buchkapitel (1)

  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)

  1. 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.
  2. 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

  3. 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

  4. 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

  5. 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

  6. 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.
  7. 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.
  8. 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)

  1. S. Dashkovskiy, B. Rüffer, F. Wirth.
    Construction of ISS Lyapunov functions for networks.
    Berichte aus der Technomathematik 06-06, Universität Bremen, 2006.
  2. S. Dashkovskiy, B. Rüffer, F. Wirth.
    An ISS Small-Gain Theorem for General Networks.
    Berichte aus der Technomathematik 05-05, Universität Bremen, 2005.
  3. N. Guglielmi, F. Wirth, M. Zennaro.
    Complex polytope extremality results for families of matrices.
    Berichte aus der Technomathematik 04-03, Universität Bremen, 2004.
  4. F. Wirth.
    A linearization principle for robustness with respect to time-varying pertubations.
    Berichte aus der Technomathematik 01-06, Universität Bremen, 2001.
  5. J. Behrens, F. Wirth.
    A globalization procedure for locally stabilizing controllers.
    Berichte aus der Technomathematik 00-09, Universität Bremen, 2000.
  6. 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.
  7. F. Wirth.
    The generalized spectral radius and extremal norms.
    Berichte aus der Technomathematik 00-16, Universität Bremen, 2000.
  8. A. D. Paice, F. Wirth.
    Robustness of nonlinear systems and their domains of attraction.
    Berichte aus der Technomathematik 99-06, Universität Bremen, 1999.
  9. 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)

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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.
  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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