@inproceedings{9f2492326dc24e869dcabcbed8d125ec,
title = "Boundary stabilization of distributed parameter systems governed by symmetric linear hyperbolic system using backstepping approach",
abstract = "In this paper, we are concerned with the frequency and time domain behavior of a heat exchanger network system. The system is governed by first-order symmetric hyperbolic linear partial differential equations with spatially varying coefficients. We use a backstepping approach to transform the system into a target system which has arbitrary decay rate. The state feedback is thus designed. It is shown that the original closed-loop system is exponentially stable with given arbitrary decay rate. Then, we construct a collocated boundary observer which only needs measurements on the controlled boundary, and show the convergence of observer estimates. Both results are combined to obtain a collocated output feedback law.",
keywords = "Backstepping method, Boundary control, Hyperbolic equations, Stability",
author = "Liu, {Jun Jun} and Wang, {Jun Min}",
year = "2013",
month = oct,
day = "18",
language = "English",
isbn = "9789881563835",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "1264--1269",
booktitle = "Proceedings of the 32nd Chinese Control Conference, CCC 2013",
address = "United States",
note = "32nd Chinese Control Conference, CCC 2013 ; Conference date: 26-07-2013 Through 28-07-2013",
}