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Stabilization of a linear hyperbolic system with one boundary controlled transport PDE coupled with n counterconvecting PDEs

Authors: Florent Di Meglio, Rafael Vazquez, Miroslav Krstic, IEEE Conference on Decision and Control (2012), pp. 2914 - 2919, 10-13 Dec. 2012, Hawaii, USA.
We propose a full-state feedback law to stabilize linear first-order hyperbolic systems featuring n positive and one negative transport speeds on a finite space domain. Only one state, corresponding to the negative velocity, is actuated at the right boundary. The proposed controller guarantees convergence of the whole (n + 1)-state system to zero in the L2-sense.
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BibTeX:
@Proceedings{,
author = {Florent Di Meglio, Rafael Vazquez, Miroslav Krstic},
editor = {},
title = {Stabilization of a linear hyperbolic system with one boundary controlled transport PDE coupled with n counterconvecting PDEs},
booktitle = {IEEE Conference on Decision and Control (2012)},
volume = {},
publisher = {},
address = {Hawaii},
pages = {2914 - 2919},
year = {2012},
abstract = {We propose a full-state feedback law to stabilize linear first-order hyperbolic systems featuring n positive and one negative transport speeds on a finite space domain. Only one state, corresponding to the negative velocity, is actuated at the right boundary. The proposed controller guarantees convergence of the whole (n + 1)-state system to zero in the L2-sense.},
keywords = {Approximation methods, Backstepping, Boundary conditions, Couplings, Equations, Integral equations, Kernel}}