@inproceedings{5a1d3171e8db487da11a9bedf77ac474,
title = "Stabilization of the Cascaded ODE-Heat Equations with Time Delay in Boundary Observation",
abstract = "We consider with the stabilization of the cascaded ODE-Heat equations to boundary observation with time delay. First, we show the well-posedness of the open-loop system. We design the observer and predictor to solve the problem: to estimate the state variable on the time interval [0, t - τ] when the observation is available, and to predict the state variable on the time interval [t - τ, t] when the observation is not available respectively. Based on the estimated state variable, the output feedback stabilizing controller by backstepping method is presented and the closed-loop system is shown to be exponentially stable. Finally, the numerical simulation results are presented.",
keywords = "ODE-Heat system, observer and predictor, output feedback, stability, time delay",
author = "Than, {Aye Aye} and Wang, {Jun Min} and Weiwei Liu",
note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 31st Chinese Control and Decision Conference, CCDC 2019 ; Conference date: 03-06-2019 Through 05-06-2019",
year = "2019",
month = jun,
doi = "10.1109/CCDC.2019.8833274",
language = "English",
series = "Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2310--2315",
booktitle = "Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019",
address = "United States",
}