Improved reachable set estimation of discrete‐time systems with time‐varying delay

This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively,...
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Gespeichert in:

Autor*in:	Feng, Zhiguang [verfasserIn] Zheng, Wei Xing

Format:	Artikel
Sprache:	Englisch

Erschienen:	2017

Rechteinformationen:	Nutzungsrecht: Copyright © 2017 John Wiley & Sons, Ltd.

Schlagwörter:	reachable set estimation discrete‐time systems time‐delay systems Discrete time systems Delay Stability criteria

Übergeordnetes Werk:	Enthalten in: Optimal control, applications & methods - Chichester, Sussex [u.a.] : Wiley, 1980, 38(2017), 6, Seite 1081-1090
Übergeordnetes Werk:	volume:38 ; year:2017 ; number:6 ; pages:1081-1090

Links:	Volltext Link aufrufen Link aufrufen

DOI / URN:	10.1002/oca.2316

Katalog-ID:	OLC1999186044

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allfields	10.1002/oca.2316 doi PQ20171228 (DE-627)OLC1999186044 (DE-599)GBVOLC1999186044 (PRQ)p1316-9a70aa98b76a072a4785c50de3fbd19f06e41cf6d88a1621643565946b4096ef3 (KEY)0099356520170000038000601081improvedreachablesetestimationofdiscretetimesystem DE-627 ger DE-627 rakwb eng 620 DNB 50.23 bkl Feng, Zhiguang verfasserin aut Improved reachable set estimation of discrete‐time systems with time‐varying delay 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results. Nutzungsrecht: Copyright © 2017 John Wiley & Sons, Ltd. reachable set estimation discrete‐time systems time‐delay systems Discrete time systems Delay Stability criteria Zheng, Wei Xing oth Enthalten in Optimal control, applications & methods Chichester, Sussex [u.a.] : Wiley, 1980 38(2017), 6, Seite 1081-1090 (DE-627)129378348 (DE-600)164380-0 (DE-576)014760835 0143-2087 nnns volume:38 year:2017 number:6 pages:1081-1090 http://dx.doi.org/10.1002/oca.2316 Volltext http://onlinelibrary.wiley.com/doi/10.1002/oca.2316/abstract https://search.proquest.com/docview/1966297676 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 50.23 AVZ AR 38 2017 6 1081-1090
spelling	10.1002/oca.2316 doi PQ20171228 (DE-627)OLC1999186044 (DE-599)GBVOLC1999186044 (PRQ)p1316-9a70aa98b76a072a4785c50de3fbd19f06e41cf6d88a1621643565946b4096ef3 (KEY)0099356520170000038000601081improvedreachablesetestimationofdiscretetimesystem DE-627 ger DE-627 rakwb eng 620 DNB 50.23 bkl Feng, Zhiguang verfasserin aut Improved reachable set estimation of discrete‐time systems with time‐varying delay 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results. Nutzungsrecht: Copyright © 2017 John Wiley & Sons, Ltd. reachable set estimation discrete‐time systems time‐delay systems Discrete time systems Delay Stability criteria Zheng, Wei Xing oth Enthalten in Optimal control, applications & methods Chichester, Sussex [u.a.] : Wiley, 1980 38(2017), 6, Seite 1081-1090 (DE-627)129378348 (DE-600)164380-0 (DE-576)014760835 0143-2087 nnns volume:38 year:2017 number:6 pages:1081-1090 http://dx.doi.org/10.1002/oca.2316 Volltext http://onlinelibrary.wiley.com/doi/10.1002/oca.2316/abstract https://search.proquest.com/docview/1966297676 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 50.23 AVZ AR 38 2017 6 1081-1090
allfields_unstemmed	10.1002/oca.2316 doi PQ20171228 (DE-627)OLC1999186044 (DE-599)GBVOLC1999186044 (PRQ)p1316-9a70aa98b76a072a4785c50de3fbd19f06e41cf6d88a1621643565946b4096ef3 (KEY)0099356520170000038000601081improvedreachablesetestimationofdiscretetimesystem DE-627 ger DE-627 rakwb eng 620 DNB 50.23 bkl Feng, Zhiguang verfasserin aut Improved reachable set estimation of discrete‐time systems with time‐varying delay 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results. Nutzungsrecht: Copyright © 2017 John Wiley & Sons, Ltd. reachable set estimation discrete‐time systems time‐delay systems Discrete time systems Delay Stability criteria Zheng, Wei Xing oth Enthalten in Optimal control, applications & methods Chichester, Sussex [u.a.] : Wiley, 1980 38(2017), 6, Seite 1081-1090 (DE-627)129378348 (DE-600)164380-0 (DE-576)014760835 0143-2087 nnns volume:38 year:2017 number:6 pages:1081-1090 http://dx.doi.org/10.1002/oca.2316 Volltext http://onlinelibrary.wiley.com/doi/10.1002/oca.2316/abstract https://search.proquest.com/docview/1966297676 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 50.23 AVZ AR 38 2017 6 1081-1090
allfieldsGer	10.1002/oca.2316 doi PQ20171228 (DE-627)OLC1999186044 (DE-599)GBVOLC1999186044 (PRQ)p1316-9a70aa98b76a072a4785c50de3fbd19f06e41cf6d88a1621643565946b4096ef3 (KEY)0099356520170000038000601081improvedreachablesetestimationofdiscretetimesystem DE-627 ger DE-627 rakwb eng 620 DNB 50.23 bkl Feng, Zhiguang verfasserin aut Improved reachable set estimation of discrete‐time systems with time‐varying delay 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results. Nutzungsrecht: Copyright © 2017 John Wiley & Sons, Ltd. reachable set estimation discrete‐time systems time‐delay systems Discrete time systems Delay Stability criteria Zheng, Wei Xing oth Enthalten in Optimal control, applications & methods Chichester, Sussex [u.a.] : Wiley, 1980 38(2017), 6, Seite 1081-1090 (DE-627)129378348 (DE-600)164380-0 (DE-576)014760835 0143-2087 nnns volume:38 year:2017 number:6 pages:1081-1090 http://dx.doi.org/10.1002/oca.2316 Volltext http://onlinelibrary.wiley.com/doi/10.1002/oca.2316/abstract https://search.proquest.com/docview/1966297676 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 50.23 AVZ AR 38 2017 6 1081-1090
allfieldsSound	10.1002/oca.2316 doi PQ20171228 (DE-627)OLC1999186044 (DE-599)GBVOLC1999186044 (PRQ)p1316-9a70aa98b76a072a4785c50de3fbd19f06e41cf6d88a1621643565946b4096ef3 (KEY)0099356520170000038000601081improvedreachablesetestimationofdiscretetimesystem DE-627 ger DE-627 rakwb eng 620 DNB 50.23 bkl Feng, Zhiguang verfasserin aut Improved reachable set estimation of discrete‐time systems with time‐varying delay 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results. Nutzungsrecht: Copyright © 2017 John Wiley & Sons, Ltd. reachable set estimation discrete‐time systems time‐delay systems Discrete time systems Delay Stability criteria Zheng, Wei Xing oth Enthalten in Optimal control, applications & methods Chichester, Sussex [u.a.] : Wiley, 1980 38(2017), 6, Seite 1081-1090 (DE-627)129378348 (DE-600)164380-0 (DE-576)014760835 0143-2087 nnns volume:38 year:2017 number:6 pages:1081-1090 http://dx.doi.org/10.1002/oca.2316 Volltext http://onlinelibrary.wiley.com/doi/10.1002/oca.2316/abstract https://search.proquest.com/docview/1966297676 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 50.23 AVZ AR 38 2017 6 1081-1090
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author	Feng, Zhiguang
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title_auth	Improved reachable set estimation of discrete‐time systems with time‐varying delay
abstract	This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results.
abstractGer	This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results.
abstract_unstemmed	This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results.
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title_short	Improved reachable set estimation of discrete‐time systems with time‐varying delay
url	http://dx.doi.org/10.1002/oca.2316 http://onlinelibrary.wiley.com/doi/10.1002/oca.2316/abstract https://search.proquest.com/docview/1966297676
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up_date	2024-07-04T06:33:07.348Z
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By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: Copyright © 2017 John Wiley & Sons, Ltd.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">reachable set estimation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">discrete‐time systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">time‐delay systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Discrete time systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Delay</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stability criteria</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zheng, Wei Xing</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Optimal control, applications & methods</subfield><subfield code="d">Chichester, Sussex [u.a.] : Wiley, 1980</subfield><subfield code="g">38(2017), 6, Seite 1081-1090</subfield><subfield code="w">(DE-627)129378348</subfield><subfield code="w">(DE-600)164380-0</subfield><subfield code="w">(DE-576)014760835</subfield><subfield code="x">0143-2087</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:38</subfield><subfield code="g">year:2017</subfield><subfield code="g">number:6</subfield><subfield code="g">pages:1081-1090</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1002/oca.2316</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://onlinelibrary.wiley.com/doi/10.1002/oca.2316/abstract</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">https://search.proquest.com/docview/1966297676</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">50.23</subfield><subfield code="q">AVZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">38</subfield><subfield code="j">2017</subfield><subfield code="e">6</subfield><subfield code="h">1081-1090</subfield></datafield></record></collection>
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Improved reachable set estimation of discrete‐time systems with time‐varying delay

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