New challenges in dynamical systems: the networked case

Bauer, P. H.

International Journal of Applied Mathematics and Computer Science, Tome 18 (2008) no. 3, pp. 271-277.

Résumé

This paper describes new technical challenges that arise from networking dynamical systems. In particular, the paper takes a look at the underlying phenomena and the resulting modeling problems that arise in such systems. Special emphasis is placed on the problem of synchronization, since this problem has not received as much attention in the literature as the phenomena of packet drop, delays, etc. The paper then discusses challenges arising in prominent areas such as congestion control, sensor networks, as well as vehicle networks and swarms.

Détail

Keywords: networked systems, sensor networks, swarms, congestion control, synchronization
Mots-clés : kontrola przeciążeń, sieć komputerowa, sieć sensorowa, synchronizacja

Bibliographie

[1] Antsaklis P. and Tabuada P. (2006). Networked Embedded Sensing and Control, University of Notre Dame, Notre Dame, IN.

[2] Barabasi A.-L. (2003). Linked, Penguin Group, London.

[3] Bauer P., Sichitiu M. and Premaratne K. (2001). On the nature of time-variant communication delays, Proceedings of the 19th IAESTED Conference on Modeling, Identification, and Control, Innsbruck, Austria, pp. 792-797.

[4] Crossbow (2008). Available at: http://www.xbow.com.

[5] Dewasurendra D., Bauer P., Scheutz M. and Premaratne K. (2006). Evidence based navigation in swarms, Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, USA (on CD-ROM).

[6] Dewasurendra D., Liang Y. and Bauer P. (2006). Distributed multi-dimensional evidence filtering, ICYR Conference 2006, Zielona Góra, Poland, (unpublished)

[7] Easysen (2008). Available at: http://www.easysen.com.

[8] Gersho A. and Gray R. (1991). Vector Quantization and Signal Compression, Kluwer, Boston, MA.

[9] Kleptsyn A. F., Kozyakin V., Krasnoleskii M. and Kuznetsov N. (1984a). Effects of small synchronization errors in stability of complex systems ii, Avtomatika i Telemekhanika, translated in: Automation and Remote Control 44(7): 309-314.

[10] Kleptsyn A. F., Kozyakin V., Krasnoleskii M. and Kuznetsov N. (1984b). Effects of small synchronization errors ins stability of complex systems iii, Avtomatika i Telemekhanika, translated in: Automation and Remote Control 45(3): 1014-1018.

[11] Koren I. and Krishna C. (2007). Fault Tolerant Systems, Morgan Kaufmann, New York, NY.

[12] Li Q. and Rus D. (2004). Global clock synchronization in sensor networks, Proceedings of the IEEE Conference Infocom 2004, Hong Kong, pp. 574-575.

[13] Lorand C. and Bauer P. (2005). Distributed discrete time systems with synchronization errors: Models and stability, IEEE Transactions on Circuits and Systems II: Express Briefs 52(4): 208-213.

[14] Lorand C. and Bauer P. (2006a). Clock synchronization errors in circuits: Models, stability and fault detection, IEEE Transactions on Circuits and Systems I: Regular Papers 53(10): 2299-2305.

[15] Lorand C. and Bauer P. (2006b). On synchronization errors in networked feedback systems, IEEE Transactions on Circuits and Systems, CAS I: Regular Papers 53(10): 2300-2317.

[16] Rayadurgam S. (2004). The Mathematics of Internet Congestion Control, Birkhäuser, Berlin.

[17] Reynolds C.W. (1987). Flocks, herds and schools: A distributed behavioral model, Proceedings of the Conference on Computer Graphics ACM SIGGRAPH 87, Anaheim, CA, USA, Vol. 21, pp. 25-34.

[18] Rohrs C. E. and Berry R. A. (1997). A linear control approach in explicite rate feedback in ATM networks, Proceedings of the IEEE Conference InfoCom, Kobe, Japan, pp. 227-282.

[19] Scheutz M. and Bauer P. (2006). A scalable, robust, ultra-low complexity agent swarm for area coverage and interception tasks, Proceedings of International Symposium on Intelligent Control, Munich, Germany, pp. 1258-1263.

[20] Scheutz M., Schermerhorn P. and Bauer P. (2005). The utility of heterogeneous swarms of simple UAVs with limited sensory capacity in detection and tracking tasks, Proceedings of the IEEE Swarm Intelligence Symposium, San Diego, CA, USA, pp. 257-264.

[21] Sentilla (2008). Available at: http://www.sentilla.com.

[22] Sichitiu M. (2001). Control of data networks: Models, stability and Controllers, Ph. D. thesis, University of Notre Dame, Notre Dame, IN.

[23] Sichitiu M., Bauer P. and Premaratne K. (2003). The effect of time-variant uncertain delays in ATM networks with explicite rate feedback: A control theoretic approach, IEEE/ACM Transactions on Networking 11(4): 628-637.