The Performance and Limitations of $\epsilon$- Stealthy Attacks on Higher Order Systems

Abstract

In a cyber-physical system, security problems are of vital importance as the failure of such system can have catastrophic effects. Detection methods can be employed to sense the existence of an attack. In a previous study of an attack on the controller while avoiding detection in scalar systems under a certain control assumption, the notion of e-stealthiness was introduced and the strength of e-stealthy attacks was fully characterized. We generalize to the vector system and prove the cases in which we show that the limitations of e-stealthy attack do not extend, in the sense that e-stealthy can inflict damage of arbitrary magnitude to a vector system.