Robust distributed routing in dynamical networks with cascading failures

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2012, Pages 7413-7418

  Como, Giacomo ^a   Savla, Ketan ^b   Acemoglu, Daron ^c   Dahleh, Munther A ^c   Frazzoli, Emilio ^c  

^a LUND UNIVERSITY   (Sweden)

^b University of Southern California   (United States)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW GRAPHS; ORDINARY DIFFERENTIAL EQUATIONS;

ALL DISTRIBUTED; CASCADING FAILURES; DISTRIBUTED ROUTING; DYNAMICAL NETWORKS; FINITE CAPACITY; MASS CONSERVATION LAW; MAXIMUM DENSITY; ROUTING POLICIES;

NETWORK ROUTING;

EID: 84874247904     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2012.6426170     Document Type: Conference Paper

References (13)

1. R. K. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows: Theory, Algorithms, and Applications. Prentice Hall, 1993.
2. G. Como, K. Savla, D. Acemoglu, M. A. Dahleh, and E. Frazzoli, "Robust distributed routing in dynamical networks - part I: Locally responsive policies and weak resilience," IEEE Trans. on Automatic Control, vol. 58, no. 2, 2013. In press.
3. G. Como, K. Savla, D. Acemoglu, M. A. Dahleh, and E. Frazzoli, "Robust distributed routing in dynamical networks - part II: Strong resilience, equilibrium selection and cascaded failures," IEEE Trans. on Automatic Control, vol. 58, no. 2, 2013. Conditionally accepted.
4. M. Garavello and B. Piccoli, Traffic Flow on Networks. American Institute of Mathematical Sciences, 2006.
5. D. J. Watts, "A simple model of global cascades on random networks," PNAS, vol. 99, no. 9, pp. 5766-5771, 2002.
6. A. Motter, "Cascade-based attacks on complex networks"," Phys. Rev. E; Physical Review E, vol. 66, no. 6, 2002.
7. P. Crucitti, V. Latora, and M. Marchiori, "Model for cascading failures in complex networks," Physical Review E, vol. 69, no. 4, pp. 045104-1-045104-4, 2004.
8. B. A. Carreras, V. E. Lynch, I. Dobson, and D. E. Newman, "Critical points and transitions in an electric power transmission model for cascading failure blackouts," Chaos, vol. 12, no. 4, pp. 985-994, 2002.
9. P. Gai and S. Kapadia, "Contagion in financial networks," Proceedings of the Royal Society A, vol. 466, no. 2120, pp. 2401-2423, 2010.
10. D. Acemoglu, A. Ozdaglar, and A. Tahbaz-Salehi, "Cascades in networks and aggregate volatility." NBER Working Paper No. 16516, November 2010.
11. S. Bikhchandani and S. Sharma, "Herd behavior in financial markets," IMF Staff Papers, vol. 47, no. 3, 2001.
12. G. L. Kaminsky and S. L. Schmukler, "What triggers market jitters?: A chronicle of the asian crisis," Journal of International Money and Finance, vol. 18, no. 4, pp. 537-560, 1999.
13. M. W. Hirsch and H. L. Smith, "Monotone dynamical systems," in Ordinary Differential Equations, vol. II (A. Canada, P. Drabek, and A. Fonda, eds.), Handbook of Differential Equations, Elsevier, 2005.