Imperial College London
Dr Boumediene Hamzi

DrBoumedieneHamzi

Faculty of Natural Sciences, Department of Mathematics

Visiting Reader
 
 
 
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Contact

 

+44 (0)20 7594 1424b.hamzi Website

 
 
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Location

 

654Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Hamzi:2019:10.1007/s42452-019-0701-3,
author = {Hamzi, B and Colonius, F},
doi = {10.1007/s42452-019-0701-3},
journal = {SN Applied Sciences},
title = {Kernel methods for the approximation of discrete-time linear autonomous and control systems},
url = {http://dx.doi.org/10.1007/s42452-019-0701-3},
volume = {1},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Methods from learning theory are used in the state space of linear dynamical and control systems in order to estimate relevant matrices and some relevant quantities such as the topological entropy. An application to stabilization via algebraic Riccati equations is included by viewing a control system as an autonomous system in an extended space of states and control inputs. Kernel methods are the main techniques used in this paper and the approach is illustrated via a series of numerical examples. The advantage of using kernel methods is that they allow to perform function approximation from data and, as illustrated in this paper, allow to approximate linear discrete-time autonomous and control systems from data.
AU  - Hamzi,B
AU  - Colonius,F
DO  - 10.1007/s42452-019-0701-3
PY  - 2019///
SN  - 2523-3963
TI  - Kernel methods for the approximation of discrete-time linear autonomous and control systems
T2  - SN Applied Sciences
UR  - http://dx.doi.org/10.1007/s42452-019-0701-3
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000475871000019&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/72330
VL  - 1
ER  -
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