Bode Integral Limitations of Spatially Invariant Multi-Agent Systems
Prashanth Srinivasa Padmasola, Nicola Elia · 2006
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