Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays
Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stabili...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Xiaohu [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2010 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media B.V. 2010 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 64(2010), 1-2 vom: 02. Okt., Seite 65-75 |
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| Übergeordnetes Werk: |
volume:64 ; year:2010 ; number:1-2 ; day:02 ; month:10 ; pages:65-75 |
| Links: |
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| DOI / URN: |
10.1007/s11071-010-9846-8 |
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OLC2051088578 |
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| 520 | |a Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory. | ||
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10.1007/s11071-010-9846-8 doi (DE-627)OLC2051088578 (DE-He213)s11071-010-9846-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Xiaohu verfasserin aut Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2010 Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory. Exponential stability Periodic solution Neutral-type Singular impulsive delay differential inequality Contraction mapping principle Li, Shuyong aut Xu, Daoyi aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 64(2010), 1-2 vom: 02. Okt., Seite 65-75 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:64 year:2010 number:1-2 day:02 month:10 pages:65-75 https://doi.org/10.1007/s11071-010-9846-8 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_23 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_4307 AR 64 2010 1-2 02 10 65-75 |
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10.1007/s11071-010-9846-8 doi (DE-627)OLC2051088578 (DE-He213)s11071-010-9846-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Xiaohu verfasserin aut Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2010 Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory. Exponential stability Periodic solution Neutral-type Singular impulsive delay differential inequality Contraction mapping principle Li, Shuyong aut Xu, Daoyi aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 64(2010), 1-2 vom: 02. Okt., Seite 65-75 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:64 year:2010 number:1-2 day:02 month:10 pages:65-75 https://doi.org/10.1007/s11071-010-9846-8 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_23 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_4307 AR 64 2010 1-2 02 10 65-75 |
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10.1007/s11071-010-9846-8 doi (DE-627)OLC2051088578 (DE-He213)s11071-010-9846-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Xiaohu verfasserin aut Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays 2010 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2010 Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory. Exponential stability Periodic solution Neutral-type Singular impulsive delay differential inequality Contraction mapping principle Li, Shuyong aut Xu, Daoyi aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 64(2010), 1-2 vom: 02. Okt., Seite 65-75 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:64 year:2010 number:1-2 day:02 month:10 pages:65-75 https://doi.org/10.1007/s11071-010-9846-8 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_23 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_4307 AR 64 2010 1-2 02 10 65-75 |
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Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays |
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Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory. © Springer Science+Business Media B.V. 2010 |
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Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory. © Springer Science+Business Media B.V. 2010 |
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Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory. © Springer Science+Business Media B.V. 2010 |
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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">OLC2051088578</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503225044.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2010 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-010-9846-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2051088578</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11071-010-9846-8-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, Xiaohu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2010</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 B.V. 2010</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, a nonautonomous impulsive neutral-type neural network with delays is considered. By establishing a singular impulsive delay differential inequality and employing contraction mapping principle, several sufficient conditions ensuring the existence and global exponential stability of the periodic solution for the impulsive neutral-type neural network with delays are obtained. Our results can extend and improve earlier publications. An example is given to illustrate the theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Exponential stability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Periodic solution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Neutral-type</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Singular impulsive delay differential inequality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Contraction mapping principle</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Li, Shuyong</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Xu, Daoyi</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">64(2010), 1-2 vom: 02. 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