Stability analysis for semi-Markovian switched singular stochastic systems
The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost sure...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mu, Xiaowu [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Epithelial morphogenesis in organoids - Lee, Byung Ho ELSEVIER, 2021, a journal of IFAC, the International Federation of Automatic Control, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:118 ; year:2020 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.automatica.2020.109014 |
|---|
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| 520 | |a The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. | ||
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| 650 | 7 | |a Stability |2 Elsevier | |
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10.1016/j.automatica.2020.109014 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001032.pica (DE-627)ELV050561855 (ELSEVIER)S0005-1098(20)30212-0 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Mu, Xiaowu verfasserin aut Stability analysis for semi-Markovian switched singular stochastic systems 2020 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. Semi-Markovian switching Elsevier Stability Elsevier Singular systems Elsevier Switched stochastic systems Elsevier Lyapunov function Elsevier Hu, Zenghui oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:118 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2020.109014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 118 2020 0 |
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10.1016/j.automatica.2020.109014 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001032.pica (DE-627)ELV050561855 (ELSEVIER)S0005-1098(20)30212-0 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Mu, Xiaowu verfasserin aut Stability analysis for semi-Markovian switched singular stochastic systems 2020 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. Semi-Markovian switching Elsevier Stability Elsevier Singular systems Elsevier Switched stochastic systems Elsevier Lyapunov function Elsevier Hu, Zenghui oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:118 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2020.109014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 118 2020 0 |
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10.1016/j.automatica.2020.109014 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001032.pica (DE-627)ELV050561855 (ELSEVIER)S0005-1098(20)30212-0 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Mu, Xiaowu verfasserin aut Stability analysis for semi-Markovian switched singular stochastic systems 2020 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. Semi-Markovian switching Elsevier Stability Elsevier Singular systems Elsevier Switched stochastic systems Elsevier Lyapunov function Elsevier Hu, Zenghui oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:118 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2020.109014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 118 2020 0 |
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10.1016/j.automatica.2020.109014 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001032.pica (DE-627)ELV050561855 (ELSEVIER)S0005-1098(20)30212-0 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Mu, Xiaowu verfasserin aut Stability analysis for semi-Markovian switched singular stochastic systems 2020 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. Semi-Markovian switching Elsevier Stability Elsevier Singular systems Elsevier Switched stochastic systems Elsevier Lyapunov function Elsevier Hu, Zenghui oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:118 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2020.109014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 118 2020 0 |
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10.1016/j.automatica.2020.109014 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001032.pica (DE-627)ELV050561855 (ELSEVIER)S0005-1098(20)30212-0 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Mu, Xiaowu verfasserin aut Stability analysis for semi-Markovian switched singular stochastic systems 2020 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. Semi-Markovian switching Elsevier Stability Elsevier Singular systems Elsevier Switched stochastic systems Elsevier Lyapunov function Elsevier Hu, Zenghui oth Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:118 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2020.109014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 118 2020 0 |
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The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. |
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The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. |
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The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV050561855</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624165106.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">200625s2020 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.automatica.2020.109014</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">/cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001032.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV050561855</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0005-1098(20)30212-0</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.48</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mu, Xiaowu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stability analysis for semi-Markovian switched singular stochastic systems</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Semi-Markovian switching</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Stability</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Singular systems</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Switched stochastic systems</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Lyapunov function</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hu, Zenghui</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier, Pergamon Press</subfield><subfield code="a">Lee, Byung Ho ELSEVIER</subfield><subfield code="t">Epithelial morphogenesis in organoids</subfield><subfield code="d">2021</subfield><subfield code="d">a journal of IFAC, the International Federation of Automatic Control</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV007443196</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:118</subfield><subfield code="g">year:2020</subfield><subfield code="g">pages:0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.automatica.2020.109014</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">44.48</subfield><subfield code="j">Medizinische Genetik</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">118</subfield><subfield code="j">2020</subfield><subfield code="h">0</subfield></datafield></record></collection>
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