On l1 stability of switched positive singular systems with time‐varying delay

This paper investigates the problem of exponential stability and l 1 ‐gain performance analysis for a class of discrete‐time switched positive singular systems with time‐varying delay. Firstly, a necessary and sufficient condition of positivity for the system is established by using the singular val...
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Autor*in:	Li, Shuo [verfasserIn] Lin, Hai

Format:	Artikel
Sprache:	Englisch

Erschienen:	2017

Rechteinformationen:	Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd.

Schlagwörter:	exponential stability gain performance time‐varying delay average dwell time switched positive singular systems co‐positive linear Lyapunov function Convexity Switching System effectiveness Dwell time Singular value decomposition Stability analysis Discrete time systems Delay Linear programming Decay rate

Übergeordnetes Werk:	Enthalten in: International journal of robust and nonlinear control - Chichester : Wiley, 1991, 27(2017), 16, Seite 2798-2812
Übergeordnetes Werk:	volume:27 ; year:2017 ; number:16 ; pages:2798-2812

Links:	Volltext Link aufrufen Link aufrufen

DOI / URN:	10.1002/rnc.3711

Katalog-ID:	OLC1998171523

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520			\|a This paper investigates the problem of exponential stability and l 1 ‐gain performance analysis for a class of discrete‐time switched positive singular systems with time‐varying delay. Firstly, a necessary and sufficient condition of positivity for the system is established by using the singular value decomposition method. Then by constructing an appropriate co‐positive Lyapunov functional and using the average dwell time scheme, we develop a sufficient delay‐dependent condition and identify a class of switching signals for the switched positive singular system to be exponentially stable and meet a prescribed l 1 ‐gain performance level under the switching signal. Based on this condition, the decay rate of the system can be tuned and the optimal system performance level can be determined by solving a convex optimization problem. All of the criteria obtained in this paper are presented in terms of linear programming, which suggests a good scalability and applicability to high dimensional systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.
540			\|a Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd.
650		4	\|a exponential stability
650		4	\|a gain performance
650		4	\|a time‐varying delay
650		4	\|a average dwell time
650		4	\|a switched positive singular systems
650		4	\|a co‐positive linear Lyapunov function
650		4	\|a Convexity
650		4	\|a Switching
650		4	\|a System effectiveness
650		4	\|a Dwell time
650		4	\|a Singular value decomposition
650		4	\|a Stability analysis
650		4	\|a Discrete time systems
650		4	\|a Delay
650		4	\|a Linear programming
650		4	\|a Decay rate
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spelling	10.1002/rnc.3711 doi PQ20171228 (DE-627)OLC1998171523 (DE-599)GBVOLC1998171523 (PRQ)p951-6840c94d3a90b6ec86946ea475ed2aa45bc8d72e4ba7e6d35046c11b25445c5d3 (KEY)0202774720170000027001602798onl1stabilityofswitchedpositivesingularsystemswith DE-627 ger DE-627 rakwb eng 510 ZDB 53.00 bkl Li, Shuo verfasserin aut On l1 stability of switched positive singular systems with time‐varying delay 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper investigates the problem of exponential stability and l 1 ‐gain performance analysis for a class of discrete‐time switched positive singular systems with time‐varying delay. Firstly, a necessary and sufficient condition of positivity for the system is established by using the singular value decomposition method. Then by constructing an appropriate co‐positive Lyapunov functional and using the average dwell time scheme, we develop a sufficient delay‐dependent condition and identify a class of switching signals for the switched positive singular system to be exponentially stable and meet a prescribed l 1 ‐gain performance level under the switching signal. Based on this condition, the decay rate of the system can be tuned and the optimal system performance level can be determined by solving a convex optimization problem. All of the criteria obtained in this paper are presented in terms of linear programming, which suggests a good scalability and applicability to high dimensional systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. exponential stability gain performance time‐varying delay average dwell time switched positive singular systems co‐positive linear Lyapunov function Convexity Switching System effectiveness Dwell time Singular value decomposition Stability analysis Discrete time systems Delay Linear programming Decay rate Lin, Hai oth Enthalten in International journal of robust and nonlinear control Chichester : Wiley, 1991 27(2017), 16, Seite 2798-2812 (DE-627)13098311X (DE-600)1076540-2 (DE-576)027065731 1049-8923 nnns volume:27 year:2017 number:16 pages:2798-2812 http://dx.doi.org/10.1002/rnc.3711 Volltext http://onlinelibrary.wiley.com/doi/10.1002/rnc.3711/abstract https://search.proquest.com/docview/1951011473 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 53.00 AVZ AR 27 2017 16 2798-2812
allfields_unstemmed	10.1002/rnc.3711 doi PQ20171228 (DE-627)OLC1998171523 (DE-599)GBVOLC1998171523 (PRQ)p951-6840c94d3a90b6ec86946ea475ed2aa45bc8d72e4ba7e6d35046c11b25445c5d3 (KEY)0202774720170000027001602798onl1stabilityofswitchedpositivesingularsystemswith DE-627 ger DE-627 rakwb eng 510 ZDB 53.00 bkl Li, Shuo verfasserin aut On l1 stability of switched positive singular systems with time‐varying delay 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper investigates the problem of exponential stability and l 1 ‐gain performance analysis for a class of discrete‐time switched positive singular systems with time‐varying delay. Firstly, a necessary and sufficient condition of positivity for the system is established by using the singular value decomposition method. Then by constructing an appropriate co‐positive Lyapunov functional and using the average dwell time scheme, we develop a sufficient delay‐dependent condition and identify a class of switching signals for the switched positive singular system to be exponentially stable and meet a prescribed l 1 ‐gain performance level under the switching signal. Based on this condition, the decay rate of the system can be tuned and the optimal system performance level can be determined by solving a convex optimization problem. All of the criteria obtained in this paper are presented in terms of linear programming, which suggests a good scalability and applicability to high dimensional systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. exponential stability gain performance time‐varying delay average dwell time switched positive singular systems co‐positive linear Lyapunov function Convexity Switching System effectiveness Dwell time Singular value decomposition Stability analysis Discrete time systems Delay Linear programming Decay rate Lin, Hai oth Enthalten in International journal of robust and nonlinear control Chichester : Wiley, 1991 27(2017), 16, Seite 2798-2812 (DE-627)13098311X (DE-600)1076540-2 (DE-576)027065731 1049-8923 nnns volume:27 year:2017 number:16 pages:2798-2812 http://dx.doi.org/10.1002/rnc.3711 Volltext http://onlinelibrary.wiley.com/doi/10.1002/rnc.3711/abstract https://search.proquest.com/docview/1951011473 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 53.00 AVZ AR 27 2017 16 2798-2812
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source	Enthalten in International journal of robust and nonlinear control 27(2017), 16, Seite 2798-2812 volume:27 year:2017 number:16 pages:2798-2812
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topic_facet	exponential stability gain performance time‐varying delay average dwell time switched positive singular systems co‐positive linear Lyapunov function Convexity Switching System effectiveness Dwell time Singular value decomposition Stability analysis Discrete time systems Delay Linear programming Decay rate
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author	Li, Shuo
spellingShingle	Li, Shuo ddc 510 bkl 53.00 misc exponential stability misc gain performance misc time‐varying delay misc average dwell time misc switched positive singular systems misc co‐positive linear Lyapunov function misc Convexity misc Switching misc System effectiveness misc Dwell time misc Singular value decomposition misc Stability analysis misc Discrete time systems misc Delay misc Linear programming misc Decay rate On l1 stability of switched positive singular systems with time‐varying delay
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issn	1049-8923
topic_title	510 ZDB 53.00 bkl On l1 stability of switched positive singular systems with time‐varying delay exponential stability gain performance time‐varying delay average dwell time switched positive singular systems co‐positive linear Lyapunov function Convexity Switching System effectiveness Dwell time Singular value decomposition Stability analysis Discrete time systems Delay Linear programming Decay rate
topic	ddc 510 bkl 53.00 misc exponential stability misc gain performance misc time‐varying delay misc average dwell time misc switched positive singular systems misc co‐positive linear Lyapunov function misc Convexity misc Switching misc System effectiveness misc Dwell time misc Singular value decomposition misc Stability analysis misc Discrete time systems misc Delay misc Linear programming misc Decay rate
topic_unstemmed	ddc 510 bkl 53.00 misc exponential stability misc gain performance misc time‐varying delay misc average dwell time misc switched positive singular systems misc co‐positive linear Lyapunov function misc Convexity misc Switching misc System effectiveness misc Dwell time misc Singular value decomposition misc Stability analysis misc Discrete time systems misc Delay misc Linear programming misc Decay rate
topic_browse	ddc 510 bkl 53.00 misc exponential stability misc gain performance misc time‐varying delay misc average dwell time misc switched positive singular systems misc co‐positive linear Lyapunov function misc Convexity misc Switching misc System effectiveness misc Dwell time misc Singular value decomposition misc Stability analysis misc Discrete time systems misc Delay misc Linear programming misc Decay rate
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hierarchy_parent_title	International journal of robust and nonlinear control
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dewey-tens	510 - Mathematics
hierarchy_top_title	International journal of robust and nonlinear control
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title	On l1 stability of switched positive singular systems with time‐varying delay
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title_full	On l1 stability of switched positive singular systems with time‐varying delay
author_sort	Li, Shuo
journal	International journal of robust and nonlinear control
journalStr	International journal of robust and nonlinear control
lang_code	eng
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author_browse	Li, Shuo
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author-letter	Li, Shuo
doi_str_mv	10.1002/rnc.3711
dewey-full	510
title_sort	on l1 stability of switched positive singular systems with time‐varying delay
title_auth	On l1 stability of switched positive singular systems with time‐varying delay
abstract	This paper investigates the problem of exponential stability and l 1 ‐gain performance analysis for a class of discrete‐time switched positive singular systems with time‐varying delay. Firstly, a necessary and sufficient condition of positivity for the system is established by using the singular value decomposition method. Then by constructing an appropriate co‐positive Lyapunov functional and using the average dwell time scheme, we develop a sufficient delay‐dependent condition and identify a class of switching signals for the switched positive singular system to be exponentially stable and meet a prescribed l 1 ‐gain performance level under the switching signal. Based on this condition, the decay rate of the system can be tuned and the optimal system performance level can be determined by solving a convex optimization problem. All of the criteria obtained in this paper are presented in terms of linear programming, which suggests a good scalability and applicability to high dimensional systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.
abstractGer	This paper investigates the problem of exponential stability and l 1 ‐gain performance analysis for a class of discrete‐time switched positive singular systems with time‐varying delay. Firstly, a necessary and sufficient condition of positivity for the system is established by using the singular value decomposition method. Then by constructing an appropriate co‐positive Lyapunov functional and using the average dwell time scheme, we develop a sufficient delay‐dependent condition and identify a class of switching signals for the switched positive singular system to be exponentially stable and meet a prescribed l 1 ‐gain performance level under the switching signal. Based on this condition, the decay rate of the system can be tuned and the optimal system performance level can be determined by solving a convex optimization problem. All of the criteria obtained in this paper are presented in terms of linear programming, which suggests a good scalability and applicability to high dimensional systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.
abstract_unstemmed	This paper investigates the problem of exponential stability and l 1 ‐gain performance analysis for a class of discrete‐time switched positive singular systems with time‐varying delay. Firstly, a necessary and sufficient condition of positivity for the system is established by using the singular value decomposition method. Then by constructing an appropriate co‐positive Lyapunov functional and using the average dwell time scheme, we develop a sufficient delay‐dependent condition and identify a class of switching signals for the switched positive singular system to be exponentially stable and meet a prescribed l 1 ‐gain performance level under the switching signal. Based on this condition, the decay rate of the system can be tuned and the optimal system performance level can be determined by solving a convex optimization problem. All of the criteria obtained in this paper are presented in terms of linear programming, which suggests a good scalability and applicability to high dimensional systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.
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container_issue	16
title_short	On l1 stability of switched positive singular systems with time‐varying delay
url	http://dx.doi.org/10.1002/rnc.3711 http://onlinelibrary.wiley.com/doi/10.1002/rnc.3711/abstract https://search.proquest.com/docview/1951011473
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author2	Lin, Hai
author2Str	Lin, Hai
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doi_str	10.1002/rnc.3711
up_date	2024-07-04T04:26:48.782Z
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