Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 59, Issue 8, Pages 2068-2082Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2014.2320308
Keywords
Delay; reduction; stabilization; time-varying
Funding
- NSF-ECCS [1102348]
- Roy P. Daniels Professorship in the LSU College of Science [3]
- Directorate For Engineering
- Div Of Electrical, Commun & Cyber Sys [1408295] Funding Source: National Science Foundation
- Directorate For Engineering
- Div Of Electrical, Commun & Cyber Sys [1102348] Funding Source: National Science Foundation
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We study stabilization problems for time-varying linear systems with constant input delays. Our reduction method ensures input-to-state stability with respect to additive uncertainties, under arbitrarily long delays. It applies to rapidly time-varying systems, and gives a lower bound on the admissible rapidness parameters. We also cover slowly time-varying systems, including upper bounds on the allowable slowness parameters. We illustrate our work using a pendulum model.
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