We study the stability properties of a control system composed of a dynamical plant and a feedback controller, the latter generating control signals that can be compromised by a malicious attacker. We consider two classes of feedback controllers: a static output-feedback controller, and a dynamical gradient-flow controller that seeks to steer the output of the plant towards the solution of a convex optimization problem. In both cases, we analyze the stability properties of the closed-loop system under a class of switching attacks that persistently modify the control inputs generated by the controllers. Our stability analysis leverages the framework of hybrid dynamical systems, Lyapunov-based arguments for switching systems with unstable modes, and singular perturbation theory. Our results reveal that, under a suitable time-scale separation between plant and controllers, the stability of the interconnected system can be preserved when the attack occurs with "sufficiently low frequency" in any bounded time interval. We present simulation results in a power-grid example that corroborate the technical findings.
Recursive Binary Identification under Data Tampering and Non-Persistent Excitation with Application to Emission Control
The Hong Kong Polytechnic University（香港理工大学）；Academy of Mathematics and Systems Science, Chinese Academy of Sciences（中国科学院数学与系统科学研究院）；University of Chinese Academy of Sciences（中国科学院大学）；Zhongyuan University of Technology（中原工学院）
Online Leader Selection for Improved Collective Tracking and Formation Maintenance
CNRS, LAAS（法国国家科学研究中心，系统分析与研究实验室）；Univ de Toulouse, LAAS（图卢兹大学，系统分析与研究实验室）；CNRS at Irisa and Inria Rennes Bretagne Atlantique（法国国家科学研究中心与布列塔尼大西洋雷恩国家信息与自动化研究所，Irisa）
