New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions
Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of...
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Gespeichert in:
| Autor*in: |
Ma, Qian [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© ICROS, KIEE and Springer 2022 |
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| Übergeordnetes Werk: |
Enthalten in: International Journal of Control, Automation and Systems - Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009, 20(2022), 4 vom: Apr., Seite 1186-1193 |
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| Übergeordnetes Werk: |
volume:20 ; year:2022 ; number:4 ; month:04 ; pages:1186-1193 |
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10.1007/s12555-020-0873-z |
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SPR050613219 |
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| 520 | |a Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. | ||
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10.1007/s12555-020-0873-z doi (DE-627)SPR050613219 (SPR)s12555-020-0873-z-e DE-627 ger DE-627 rakwb eng Ma, Qian verfasserin aut New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © ICROS, KIEE and Springer 2022 Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. Finite-time stability (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 singular system (dpeaa)DE-He213 time-dependent Lyapunov function (dpeaa)DE-He213 Sun, Yuangong (orcid)0000-0003-0616-1932 aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 20(2022), 4 vom: Apr., Seite 1186-1193 (DE-627)SPR026303256 nnns volume:20 year:2022 number:4 month:04 pages:1186-1193 https://dx.doi.org/10.1007/s12555-020-0873-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 20 2022 4 04 1186-1193 |
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10.1007/s12555-020-0873-z doi (DE-627)SPR050613219 (SPR)s12555-020-0873-z-e DE-627 ger DE-627 rakwb eng Ma, Qian verfasserin aut New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © ICROS, KIEE and Springer 2022 Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. Finite-time stability (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 singular system (dpeaa)DE-He213 time-dependent Lyapunov function (dpeaa)DE-He213 Sun, Yuangong (orcid)0000-0003-0616-1932 aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 20(2022), 4 vom: Apr., Seite 1186-1193 (DE-627)SPR026303256 nnns volume:20 year:2022 number:4 month:04 pages:1186-1193 https://dx.doi.org/10.1007/s12555-020-0873-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 20 2022 4 04 1186-1193 |
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10.1007/s12555-020-0873-z doi (DE-627)SPR050613219 (SPR)s12555-020-0873-z-e DE-627 ger DE-627 rakwb eng Ma, Qian verfasserin aut New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © ICROS, KIEE and Springer 2022 Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. Finite-time stability (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 singular system (dpeaa)DE-He213 time-dependent Lyapunov function (dpeaa)DE-He213 Sun, Yuangong (orcid)0000-0003-0616-1932 aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 20(2022), 4 vom: Apr., Seite 1186-1193 (DE-627)SPR026303256 nnns volume:20 year:2022 number:4 month:04 pages:1186-1193 https://dx.doi.org/10.1007/s12555-020-0873-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 20 2022 4 04 1186-1193 |
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10.1007/s12555-020-0873-z doi (DE-627)SPR050613219 (SPR)s12555-020-0873-z-e DE-627 ger DE-627 rakwb eng Ma, Qian verfasserin aut New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © ICROS, KIEE and Springer 2022 Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. Finite-time stability (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 singular system (dpeaa)DE-He213 time-dependent Lyapunov function (dpeaa)DE-He213 Sun, Yuangong (orcid)0000-0003-0616-1932 aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 20(2022), 4 vom: Apr., Seite 1186-1193 (DE-627)SPR026303256 nnns volume:20 year:2022 number:4 month:04 pages:1186-1193 https://dx.doi.org/10.1007/s12555-020-0873-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 20 2022 4 04 1186-1193 |
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10.1007/s12555-020-0873-z doi (DE-627)SPR050613219 (SPR)s12555-020-0873-z-e DE-627 ger DE-627 rakwb eng Ma, Qian verfasserin aut New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © ICROS, KIEE and Springer 2022 Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. Finite-time stability (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 singular system (dpeaa)DE-He213 time-dependent Lyapunov function (dpeaa)DE-He213 Sun, Yuangong (orcid)0000-0003-0616-1932 aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 20(2022), 4 vom: Apr., Seite 1186-1193 (DE-627)SPR026303256 nnns volume:20 year:2022 number:4 month:04 pages:1186-1193 https://dx.doi.org/10.1007/s12555-020-0873-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 20 2022 4 04 1186-1193 |
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New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions |
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Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. © ICROS, KIEE and Springer 2022 |
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Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. © ICROS, KIEE and Springer 2022 |
| abstract_unstemmed |
Abstract In this paper, the finite time stability and H∞ finite-time stability of singular linear systems are considered. By constructing a class of time-dependent Lyapunov functions and introducing a zero term with free weighting matrices, we first establish a new explicit criterion in the form of LMIs for finite-time stability of the system. Then, an H∞ finite-time stability criterion for the system is obtained. The given results are easily verifiable and less conservative compared with some existing ones in the literature. Finally, four numerical examples are given to demonstrate the effectiveness of the proposed method. © ICROS, KIEE and Springer 2022 |
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New Explicit Criteria for Finite-time Stability of Singular Linear Systems Using Time-dependent Lyapunov Functions |
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