Hu, JianghaiShen, JinglaiLee, Donghwan2024-08-272024-08-272017-01-10Hu, Jianghai, Jinglai Shen, and Donghwan Lee. “Resilient Stabilization of Switched Linear Control Systems Against Adversarial Switching.” IEEE Transactions on Automatic Control 62, no. 8 (August 2017): 3820–34. https://doi.org/10.1109/TAC.2017.2651058.https://doi.org/10.1109/TAC.2017.2651058http://hdl.handle.net/11603/35834This paper studies the problem of stabilizing discrete-time switched linear control systems (SLCSs) using continuous input by a user against adversarial switching by an adversary. It is assumed that at each time the adversary knows the user's decision on the continuous input but not vice versa. A quantitative metric of stabilizability is proposed. Systems at the margin of stabilizability are further classified and studied via the notions of defectiveness and reducibility. Analytical bounds on the stabilizability metric are derived using (semi)norms, with tight bounds provided by extremal norms. Numerical algorithms are also developed for computing this metric. An application example in networked control systems is presented.14 pagesen-US© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Linear systemsMeasurementNetworked control systemsOptimal controlResilient systemsrobustnessRobustnessstabilizationswitched control systemsSwitchesText