New stability criteria for linear time-delay systems using complete LKF method
This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation tec...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, Ziye [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Rechteinformationen: |
Nutzungsrecht: © 2013 Taylor & Francis 2013 |
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| Schlagwörter: |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: International journal of systems science - London [u.a.] : Taylor & Francis, 1970, 46(2015), 2, Seite 377-384 |
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| Übergeordnetes Werk: |
volume:46 ; year:2015 ; number:2 ; pages:377-384 |
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| DOI / URN: |
10.1080/00207721.2013.794906 |
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| 520 | |a This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. | ||
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| 700 | 1 | |a Chen, Bing |4 oth | |
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10.1080/00207721.2013.794906 doi PQ20160617 (DE-627)OLC1967637474 (DE-599)GBVOLC1967637474 (PRQ)c1896-ac8377e259eb136d6b19e22f53ecb8c1add7523df117ac2ab9f426e5a5c219b00 (KEY)0076963020150000046000200377newstabilitycriteriaforlineartimedelaysystemsusing DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Zhang, Ziye verfasserin aut New stability criteria for linear time-delay systems using complete LKF method 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. Nutzungsrecht: © 2013 Taylor & Francis 2013 complete LKF method stability time-delay systems Lin, Chong oth Chen, Bing oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 2, Seite 377-384 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:2 pages:377-384 http://dx.doi.org/10.1080/00207721.2013.794906 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.794906 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 2 377-384 |
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10.1080/00207721.2013.794906 doi PQ20160617 (DE-627)OLC1967637474 (DE-599)GBVOLC1967637474 (PRQ)c1896-ac8377e259eb136d6b19e22f53ecb8c1add7523df117ac2ab9f426e5a5c219b00 (KEY)0076963020150000046000200377newstabilitycriteriaforlineartimedelaysystemsusing DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Zhang, Ziye verfasserin aut New stability criteria for linear time-delay systems using complete LKF method 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. Nutzungsrecht: © 2013 Taylor & Francis 2013 complete LKF method stability time-delay systems Lin, Chong oth Chen, Bing oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 2, Seite 377-384 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:2 pages:377-384 http://dx.doi.org/10.1080/00207721.2013.794906 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.794906 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 2 377-384 |
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10.1080/00207721.2013.794906 doi PQ20160617 (DE-627)OLC1967637474 (DE-599)GBVOLC1967637474 (PRQ)c1896-ac8377e259eb136d6b19e22f53ecb8c1add7523df117ac2ab9f426e5a5c219b00 (KEY)0076963020150000046000200377newstabilitycriteriaforlineartimedelaysystemsusing DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Zhang, Ziye verfasserin aut New stability criteria for linear time-delay systems using complete LKF method 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. Nutzungsrecht: © 2013 Taylor & Francis 2013 complete LKF method stability time-delay systems Lin, Chong oth Chen, Bing oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 2, Seite 377-384 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:2 pages:377-384 http://dx.doi.org/10.1080/00207721.2013.794906 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.794906 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 2 377-384 |
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10.1080/00207721.2013.794906 doi PQ20160617 (DE-627)OLC1967637474 (DE-599)GBVOLC1967637474 (PRQ)c1896-ac8377e259eb136d6b19e22f53ecb8c1add7523df117ac2ab9f426e5a5c219b00 (KEY)0076963020150000046000200377newstabilitycriteriaforlineartimedelaysystemsusing DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Zhang, Ziye verfasserin aut New stability criteria for linear time-delay systems using complete LKF method 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. Nutzungsrecht: © 2013 Taylor & Francis 2013 complete LKF method stability time-delay systems Lin, Chong oth Chen, Bing oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 2, Seite 377-384 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:2 pages:377-384 http://dx.doi.org/10.1080/00207721.2013.794906 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.794906 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 2 377-384 |
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10.1080/00207721.2013.794906 doi PQ20160617 (DE-627)OLC1967637474 (DE-599)GBVOLC1967637474 (PRQ)c1896-ac8377e259eb136d6b19e22f53ecb8c1add7523df117ac2ab9f426e5a5c219b00 (KEY)0076963020150000046000200377newstabilitycriteriaforlineartimedelaysystemsusing DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Zhang, Ziye verfasserin aut New stability criteria for linear time-delay systems using complete LKF method 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. Nutzungsrecht: © 2013 Taylor & Francis 2013 complete LKF method stability time-delay systems Lin, Chong oth Chen, Bing oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 2, Seite 377-384 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:2 pages:377-384 http://dx.doi.org/10.1080/00207721.2013.794906 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.794906 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 2 377-384 |
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Zhang, Ziye |
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10.1080/00207721.2013.794906 |
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510 000 620 |
| title_sort |
new stability criteria for linear time-delay systems using complete lkf method |
| title_auth |
New stability criteria for linear time-delay systems using complete LKF method |
| abstract |
This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. |
| abstractGer |
This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. |
| abstract_unstemmed |
This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov-Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. |
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| title_short |
New stability criteria for linear time-delay systems using complete LKF method |
| url |
http://dx.doi.org/10.1080/00207721.2013.794906 http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.794906 |
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| author2 |
Lin, Chong Chen, Bing |
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Lin, Chong Chen, Bing |
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2024-07-04T01:33:00.355Z |
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