TY - GEN
T1 - Emergence of power laws in networked control systems
AU - Elia, Nicola
PY - 2006
Y1 - 2006
N2 - In this paper we study multiple systems connected over an unreliable communication network. The links in the networks are modeled as drop-out channels. We consider the closed loop Mean Square stability of multi agent systems formations, and use our analysis result to evaluate the fragility of the networked system to packet losses or link drop-outs. We present a case where the packet drops can lead to loss of Mean Square stability. Systems that are not Mean Square stable have heavy tail distributions of their states. Simulations show the power law nature of such distributions. While having identical agents may lead to a simplified nominal stability analysis and to scalable solutions, it does not seem to reduce the complexity of the Mean Square stability analysis. We show that fading networks, which are spatially invariant in the mean, do not suffer from this limitation and allow for the maximal tolerable uncertainty to be distributed arbitrarily among the links.
AB - In this paper we study multiple systems connected over an unreliable communication network. The links in the networks are modeled as drop-out channels. We consider the closed loop Mean Square stability of multi agent systems formations, and use our analysis result to evaluate the fragility of the networked system to packet losses or link drop-outs. We present a case where the packet drops can lead to loss of Mean Square stability. Systems that are not Mean Square stable have heavy tail distributions of their states. Simulations show the power law nature of such distributions. While having identical agents may lead to a simplified nominal stability analysis and to scalable solutions, it does not seem to reduce the complexity of the Mean Square stability analysis. We show that fading networks, which are spatially invariant in the mean, do not suffer from this limitation and allow for the maximal tolerable uncertainty to be distributed arbitrarily among the links.
KW - Drop networks
KW - Formation control over packet
KW - Mean-square stability robustness
KW - Power laws spatially invariant systems
UR - http://www.scopus.com/inward/record.url?scp=39649121732&partnerID=8YFLogxK
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U2 - 10.1109/cdc.2006.377020
DO - 10.1109/cdc.2006.377020
M3 - Conference contribution
AN - SCOPUS:39649121732
SN - 1424401712
SN - 9781424401710
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 490
EP - 495
BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 45th IEEE Conference on Decision and Control 2006, CDC
Y2 - 13 December 2006 through 15 December 2006
ER -