@inproceedings{72e4bb8b7e4f4695b3c134285d8357f5,
title = "Stabilization for a semilinear heat equation with switching control",
abstract = "This work discusses sampled-data stabilization by switching for 1-D nonlinear reaction-diffusion equation with spatially scheduled actuators. We suggest that the interval [0,1] is divided into N subdomains. We assume that N sensors are placed in each subdomain and measure the average value of the state in the discrete time. We stabilize the system by switching sampled-data static output-feedback. This switching control law can be implemented either by using one moving actuator that can move to the active subdomain in the negligible time or by N actuators placed in each subdomain. In the latter case switching control may reduce the energy that the system spends. Constructive conditions are derived to ensure that the resulting closed-loop system is exponentially stable by means of the Lyapunov approach. A numerical example shows the efficiency of the method.",
author = "Wen Kang and Emilia Fridman and Liu, {Chuan Xin}",
note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 60th IEEE Conference on Decision and Control, CDC 2021 ; Conference date: 13-12-2021 Through 17-12-2021",
year = "2021",
doi = "10.1109/CDC45484.2021.9683372",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "448--453",
booktitle = "60th IEEE Conference on Decision and Control, CDC 2021",
address = "United States",
}