Finite-Time backstepping boundary stabilization of 3 × 3 hyperbolic systems
Authors: Long Hu , Florent Di Meglio, 2015 European Control Conference (ECC 2015), pp. 67 - 72, July 15-17, 2015, Linz
We consider the problem of boundary stabilization of 3 × 3 linear first-order hyperbolic systems with one positive and two negative transport speeds by using backstepping. The main result of the paper is to supplement the previous works on how to choose multi-boundary feedback inputs applied on the states corresponding to the negative velocities to obtain finite-time stabilization of the original system in the spatial L2 sense. Our method is still valid for boundary stabilization of general n × n hyperbolic system with arbitrary numbers of states traveling in either directions.
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BibTeX:
@Proceedings{2017-04-01,
author = {Long Hu, Florent Di Meglio},
editor = {},
title = {Finite-Time backstepping boundary stabilization of 3 × 3 hyperbolic systems},
booktitle = {2015 European Control Conference (ECC 2015)},
volume = {},
publisher = {},
address = {Linz},
pages = {67 - 72},
year = {2015},
abstract = {We consider the problem of boundary stabilization of 3 × 3 linear first-order hyperbolic systems with one positive and two negative transport speeds by using backstepping. The main result of the paper is to supplement the previous works on how to choose multi-boundary feedback inputs applied on the states corresponding to the negative velocities to obtain finite-time stabilization of the original system in the spatial L2 sense. Our method is still valid for boundary stabilization of general n × n hyperbolic system with arbitrary numbers of states traveling in either directions.},
keywords = {Finite-Time Stabilization, 3 × 3 Hy- perbolic Systems, Multi-boundary feedback Inputs, Backstepping Transformation}}
We consider the problem of boundary stabilization of 3 × 3 linear first-order hyperbolic systems with one positive and two negative transport speeds by using backstepping. The main result of the paper is to supplement the previous works on how to choose multi-boundary feedback inputs applied on the states corresponding to the negative velocities to obtain finite-time stabilization of the original system in the spatial L2 sense. Our method is still valid for boundary stabilization of general n × n hyperbolic system with arbitrary numbers of states traveling in either directions.
Download PDF
BibTeX:
@Proceedings{2017-04-01,
author = {Long Hu, Florent Di Meglio},
editor = {},
title = {Finite-Time backstepping boundary stabilization of 3 × 3 hyperbolic systems},
booktitle = {2015 European Control Conference (ECC 2015)},
volume = {},
publisher = {},
address = {Linz},
pages = {67 - 72},
year = {2015},
abstract = {We consider the problem of boundary stabilization of 3 × 3 linear first-order hyperbolic systems with one positive and two negative transport speeds by using backstepping. The main result of the paper is to supplement the previous works on how to choose multi-boundary feedback inputs applied on the states corresponding to the negative velocities to obtain finite-time stabilization of the original system in the spatial L2 sense. Our method is still valid for boundary stabilization of general n × n hyperbolic system with arbitrary numbers of states traveling in either directions.},
keywords = {Finite-Time Stabilization, 3 × 3 Hy- perbolic Systems, Multi-boundary feedback Inputs, Backstepping Transformation}}