Stability analysis on a class of nonlinear fractional-order systems
Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order s...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Zhiliang [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media Dordrecht 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 86(2016), 2 vom: 11. Aug., Seite 1023-1033 |
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| Übergeordnetes Werk: |
volume:86 ; year:2016 ; number:2 ; day:11 ; month:08 ; pages:1023-1033 |
| Links: |
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| DOI / URN: |
10.1007/s11071-016-2943-6 |
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OLC2051119392 |
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| 520 | |a Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. | ||
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10.1007/s11071-016-2943-6 doi (DE-627)OLC2051119392 (DE-He213)s11071-016-2943-6-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhiliang verfasserin (orcid)0000-0001-6845-6539 aut Stability analysis on a class of nonlinear fractional-order systems 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2016 Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. Fractional-order Incommensurate Comparison inequality Linearization Stability Stabilization Yang, Dongsheng aut Zhang, Huaguang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 86(2016), 2 vom: 11. Aug., Seite 1023-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:86 year:2016 number:2 day:11 month:08 pages:1023-1033 https://doi.org/10.1007/s11071-016-2943-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 86 2016 2 11 08 1023-1033 |
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10.1007/s11071-016-2943-6 doi (DE-627)OLC2051119392 (DE-He213)s11071-016-2943-6-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhiliang verfasserin (orcid)0000-0001-6845-6539 aut Stability analysis on a class of nonlinear fractional-order systems 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2016 Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. Fractional-order Incommensurate Comparison inequality Linearization Stability Stabilization Yang, Dongsheng aut Zhang, Huaguang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 86(2016), 2 vom: 11. Aug., Seite 1023-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:86 year:2016 number:2 day:11 month:08 pages:1023-1033 https://doi.org/10.1007/s11071-016-2943-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 86 2016 2 11 08 1023-1033 |
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10.1007/s11071-016-2943-6 doi (DE-627)OLC2051119392 (DE-He213)s11071-016-2943-6-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhiliang verfasserin (orcid)0000-0001-6845-6539 aut Stability analysis on a class of nonlinear fractional-order systems 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2016 Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. Fractional-order Incommensurate Comparison inequality Linearization Stability Stabilization Yang, Dongsheng aut Zhang, Huaguang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 86(2016), 2 vom: 11. Aug., Seite 1023-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:86 year:2016 number:2 day:11 month:08 pages:1023-1033 https://doi.org/10.1007/s11071-016-2943-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 86 2016 2 11 08 1023-1033 |
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10.1007/s11071-016-2943-6 doi (DE-627)OLC2051119392 (DE-He213)s11071-016-2943-6-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Zhiliang verfasserin (orcid)0000-0001-6845-6539 aut Stability analysis on a class of nonlinear fractional-order systems 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2016 Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. Fractional-order Incommensurate Comparison inequality Linearization Stability Stabilization Yang, Dongsheng aut Zhang, Huaguang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 86(2016), 2 vom: 11. Aug., Seite 1023-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:86 year:2016 number:2 day:11 month:08 pages:1023-1033 https://doi.org/10.1007/s11071-016-2943-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 86 2016 2 11 08 1023-1033 |
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Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. © Springer Science+Business Media Dordrecht 2016 |
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Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. © Springer Science+Business Media Dordrecht 2016 |
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Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems. © Springer Science+Business Media Dordrecht 2016 |
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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">OLC2051119392</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503231449.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2016 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-016-2943-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2051119392</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11071-016-2943-6-p</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">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Zhiliang</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0001-6845-6539</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stability analysis on a class of nonlinear fractional-order systems</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media Dordrecht 2016</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional-order</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Incommensurate</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Comparison inequality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linearization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stabilization</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yang, Dongsheng</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Huaguang</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Nonlinear dynamics</subfield><subfield code="d">Springer Netherlands, 1990</subfield><subfield code="g">86(2016), 2 vom: 11. 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