Random and Malicious Packet Transmission Failures on Multi-Hop Channels in Networked Control Systems

We address the control problem of a linear dynamical system over a multi-hop network. The transmissions of state and control packets over the network are assumed to be subject to failures that may be due to packet drops by malicious and nonmalicious nodes as well as random and malicious data corruption issues. We utilize probabilistic and asymptotic bounds of transmission failure ratios to characterize not only the links and paths of a network but also the network itself. This characterization allows us to deal with multiple failures that depend on each other, and coordinated malicious attacks on the network. By utilizing this characterization we also obtain a condition for the closed-loop stability.