TY - GEN
T1 - Bode integral limitations of spatially invariant multi-agent systems
AU - Padmasola, Prashanth
AU - Elia, Nicola
PY - 2006
Y1 - 2006
N2 - We study the performance of spatially invariant plants interconnected through a static network. Such structures commonly arise in multi-agent systems and systems described by partial differential equations with constant coefficients. We introduce a new notion of Bode sensitivity integral for such interconnections of systems. We comment on a new Waterbed effect in two dimensions, space and time and evaluate examples to show the role of Bode Integral as a fundamental limitation in feedback interconnection of distributed systems.
AB - We study the performance of spatially invariant plants interconnected through a static network. Such structures commonly arise in multi-agent systems and systems described by partial differential equations with constant coefficients. We introduce a new notion of Bode sensitivity integral for such interconnections of systems. We comment on a new Waterbed effect in two dimensions, space and time and evaluate examples to show the role of Bode Integral as a fundamental limitation in feedback interconnection of distributed systems.
UR - http://www.scopus.com/inward/record.url?scp=39549106585&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=39549106585&partnerID=8YFLogxK
U2 - 10.1109/cdc.2006.377337
DO - 10.1109/cdc.2006.377337
M3 - Conference contribution
AN - SCOPUS:39549106585
SN - 1424401712
SN - 9781424401710
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4327
EP - 4332
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 -