@inproceedings{cb653fe56d6445858220ec7885cef497,
title = "Boundary controller design and well-posedness analysis of semi-linear parabolic PDE systems",
abstract = "This paper addresses the boundary control design problem of a class of nonlinear distributed parameter systems described by a scalar semi-linear parabolic partial differential equation (PDE). A simple boundary controller design is developed under the domain-averaged measurement for the PDE system. The suggested controller is easily implemented since only a boundary actuator is utilized. Based on the Lyapunov direct method and the contraction semigroup theory, it is shown that the closed-loop system is well-posed and is exponentially stable. Finally, the effectiveness of the proposed control methods is illustrated by a numerical example.",
keywords = "Distributed parameter systems, Nonlinear systems, Robust control",
author = "Wang, \{Jun Wei\} and Wu, \{Huai Ning\} and Sun, \{Chang Yin\}",
year = "2014",
doi = "10.1109/ACC.2014.6858880",
language = "英语",
isbn = "9781479932726",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3369--3374",
booktitle = "2014 American Control Conference, ACC 2014",
note = "2014 American Control Conference, ACC 2014 ; Conference date: 04-06-2014 Through 06-06-2014",
}