Zeros of Networked Systems with Time-invariant Interconnections
Provides theoretical insight for control engineers analyzing stability and performance of networked systems with fixed topologies.
The paper characterizes zeros of networked linear systems with time-invariant interconnections, showing how agent-level and interconnection dynamics contribute to network zeros, and relates network zeros to blocked system zeros.
This paper studies zeros of networked linear systems with time-invariant interconnection topology. While the characterization of zeros is given for both heterogeneous and homogeneous networks, homogeneous networks are explored in greater detail. In the current paper, for homogeneous networks with time-invariant interconnection dynamics, it is illustrated how the zeros of each individual agent's system description and zeros definable from the interconnection dynamics contribute to generating zeros of the whole network. We also demonstrate how zeros of networked systems and those of their associated blocked versions are related.