State feedback stabilization of linear descriptor time-varying delay systems

© The Author(s) 2020. In this paper, the augmented Lyapunov-Krasovskii function approach combining with singular value decomposition method is developed for stabilization of linear descriptor systems with time-varying delay. The delay function is non-differentiable, but continuous and bounded. By in...

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Main Authors:	Piyapong Niamsup, Vu N. Phat
Format:	Journal
Published:	2020
Subjects:	Physics and Astronomy
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85082135829&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68585
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-68585
record_format	dspace
spelling	th-cmuir.6653943832-685852020-04-02T15:30:12Z State feedback stabilization of linear descriptor time-varying delay systems Piyapong Niamsup Vu N. Phat Physics and Astronomy © The Author(s) 2020. In this paper, the augmented Lyapunov-Krasovskii function approach combining with singular value decomposition method is developed for stabilization of linear descriptor systems with time-varying delay. The delay function is non-differentiable, but continuous and bounded. By introducing a set of improved Lyapunov-Krasovskii functionals we propose delay-dependent sufficient conditions for admissibility of the system in terms of linear matrix inequalities. Then, based on the obtained stability results the problem of stabilization is solved via state feedback controllers, which guarantees that the descriptor closed-loop system is admissible. An numerical example with simulation is provided to show the effectiveness of the theoretical result. 2020-04-02T15:30:12Z 2020-04-02T15:30:12Z 2020-01-01 Journal 01423312 2-s2.0-85082135829 10.1177/0142331220908997 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85082135829&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68585
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Physics and Astronomy
spellingShingle	Physics and Astronomy Piyapong Niamsup Vu N. Phat State feedback stabilization of linear descriptor time-varying delay systems
description	© The Author(s) 2020. In this paper, the augmented Lyapunov-Krasovskii function approach combining with singular value decomposition method is developed for stabilization of linear descriptor systems with time-varying delay. The delay function is non-differentiable, but continuous and bounded. By introducing a set of improved Lyapunov-Krasovskii functionals we propose delay-dependent sufficient conditions for admissibility of the system in terms of linear matrix inequalities. Then, based on the obtained stability results the problem of stabilization is solved via state feedback controllers, which guarantees that the descriptor closed-loop system is admissible. An numerical example with simulation is provided to show the effectiveness of the theoretical result.
format	Journal
author	Piyapong Niamsup Vu N. Phat
author_facet	Piyapong Niamsup Vu N. Phat
author_sort	Piyapong Niamsup
title	State feedback stabilization of linear descriptor time-varying delay systems
title_short	State feedback stabilization of linear descriptor time-varying delay systems
title_full	State feedback stabilization of linear descriptor time-varying delay systems
title_fullStr	State feedback stabilization of linear descriptor time-varying delay systems
title_full_unstemmed	State feedback stabilization of linear descriptor time-varying delay systems
title_sort	state feedback stabilization of linear descriptor time-varying delay systems
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85082135829&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68585
_version_	1681426846763188224

State feedback stabilization of linear descriptor time-varying delay systems

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