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We address the problem of attack detection and attack correction formulti-output discrete-time linear time-invariant systems under sensor attack.More specifically, we focus on the situation where adversarial attack signalsare added to some of the system's output signals. A 'security index' is definedto characterize the vulnerability of a system against such sensor attacks.Methods to compute the security index are presented as are algorithms to detectand correct for sensor attacks. The results are illustrated by examplesinvolving multiple sensors.

Linear system security -- detection and correction of adversarial attacks in the noise-free case