Stabilizing switched linear systems under adversarial switching

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StabilizingSwitchedLinearSystemsunderAdversarialSwitching.pdf (1.98 MB)

Links to Files

https://ieeexplore.ieee.org/document/7402653

Permanent Link

https://doi.org/10.1109/CDC.2015.7402653
 http://hdl.handle.net/11603/35919

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UMBC Faculty Collection
UMBC Mathematics and Statistics Department

Author/Creator

Author/Creator ORCID

https://orcid.org/0000-0003-2172-4182

Date

2015-12

Type of Work

conference papers and proceedings
preprints
Text

Department

Program

Citation of Original Publication

Hu, Jianghai, Dong-Hwan Lee, and Jinglai Shen. “Stabilizing Switched Linear Systems under Adversarial Switching.” In 2015 54th IEEE Conference on Decision and Control (CDC), 2875–80, 2015. https://doi.org/10.1109/CDC.2015.7402653.

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© 2015 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.

Subjects

Conferences
Knowledge engineering
Linear systems
Switched systems
Switches
Switching frequency

Abstract

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.