Reduction model approach for linear time-varying systems with delays
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. © 1963-2012 IEEE.
Publication Source (Journal or Book title)
IEEE Transactions on Automatic Control
Mazenc, F., Malisoff, M., & Niculescu, S. (2014). Reduction model approach for linear time-varying systems with delays. IEEE Transactions on Automatic Control, 59 (8), 2068-2082. https://doi.org/10.1109/TAC.2014.2320308