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Browse Journals & Magazines > Automatic Control, IEEE Trans ...> Volume:53 Issue:1 Help

On l_2 Stabilization of Linear Systems With Quantized Control

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2 Author(s)
Kameneva, T. ; Dept. of Electr. & Electron. Eng., Melbourne Univ., Melbourne, VIC ; Nesic, D.

This paper extends results from [D. Liberzon and D. Nesic, ldquoInput-to-state stabilization of linear systems with quantized feedback,rdquo IEEE Trans. Autom. Control, vol. 52, no. 5, pp. 767--781, May 2007], where input-to-state stabilization (ISS) of linear systems with quantized feedback was considered. In this paper, we show that, by using the same scheme and under the same conditions as in D. Liberzon and D. Nesic, ldquoInput-to-state stabilization of linear systems with quantized feedback,rdquo IEEE Trans. Autom. Control, vol. 52, no. 5, pp. 767-781, May 2007, it is also possible to achieve (nonlinear gain) l2 stabilization for linear systems. We also prove a new lemma on Kinfin functions that is interesting in its own right.

Published in:
Automatic Control, IEEE Transactions on  (Volume:53 ,  Issue: 1 )

Date of Publication: Feb. 2008

Page(s):
399 - 405
ISSN :
0018-9286
INSPEC Accession Number:
9995524
Digital Object Identifier :
10.1109/TAC.2007.914230
Product Type:
Journals & Magazines
Date of Current Version :
31 March 2008
Issue Date :
Feb. 2008
Sponsored by :
IEEE Control Systems Society

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