Stabilizing switched linear systems under adversarial switching

The problem of stabilizing discrete-time switched linear control systems using continuous input by the user and against adversarial switching by an adversary is studied. It is assumed that the adversary has the advantage in that at each time it knows the user's decision on the continuous contro...

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Bibliographic Details
Published in2015 54th IEEE Conference on Decision and Control (CDC) pp. 2875 - 2880
Main Authors Hu, Jianghai, Lee, Dong-Hwan, Shen, Jinglai
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2015
Subjects
Conferences
Knowledge engineering
Linear systems
Switched systems
Switches
Switching frequency
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Summary:The problem of stabilizing discrete-time switched linear control systems using continuous input by the user and against adversarial switching by an adversary is studied. It is assumed that the adversary has the advantage in that at each time it knows the user's decision on the continuous control input but not vice versa. Stabilizability conditions and bounds on the fastest stabilizing rates are derived. Examples are given to illustrate the results.
DOI:10.1109/CDC.2015.7402653