A comment on “Exponential stability of nonlinear delay equation with constant decay rate via perturbed system method”
Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result.
Autor*in: |
Makhlouf, Abdellatif Ben [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2014 |
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Schlagwörter: |
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Anmerkung: |
© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 |
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Übergeordnetes Werk: |
Enthalten in: International Journal of Control, Automation and Systems - Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009, 12(2014), 6 vom: 08. Okt., Seite 1352-1357 |
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Übergeordnetes Werk: |
volume:12 ; year:2014 ; number:6 ; day:08 ; month:10 ; pages:1352-1357 |
Links: |
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DOI / URN: |
10.1007/s12555-014-0015-6 |
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SPR026389436 |
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10.1007/s12555-014-0015-6 doi (DE-627)SPR026389436 (SPR)s12555-014-0015-6-e DE-627 ger DE-627 rakwb eng Makhlouf, Abdellatif Ben verfasserin aut A comment on “Exponential stability of nonlinear delay equation with constant decay rate via perturbed system method” 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result. Exponential stability (dpeaa)DE-He213 nonlinear inequality (dpeaa)DE-He213 time delay (dpeaa)DE-He213 time-varying systems (dpeaa)DE-He213 Hammami, Mohamed Ali aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 12(2014), 6 vom: 08. Okt., Seite 1352-1357 (DE-627)SPR026303256 nnns volume:12 year:2014 number:6 day:08 month:10 pages:1352-1357 https://dx.doi.org/10.1007/s12555-014-0015-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 12 2014 6 08 10 1352-1357 |
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10.1007/s12555-014-0015-6 doi (DE-627)SPR026389436 (SPR)s12555-014-0015-6-e DE-627 ger DE-627 rakwb eng Makhlouf, Abdellatif Ben verfasserin aut A comment on “Exponential stability of nonlinear delay equation with constant decay rate via perturbed system method” 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result. Exponential stability (dpeaa)DE-He213 nonlinear inequality (dpeaa)DE-He213 time delay (dpeaa)DE-He213 time-varying systems (dpeaa)DE-He213 Hammami, Mohamed Ali aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 12(2014), 6 vom: 08. Okt., Seite 1352-1357 (DE-627)SPR026303256 nnns volume:12 year:2014 number:6 day:08 month:10 pages:1352-1357 https://dx.doi.org/10.1007/s12555-014-0015-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 12 2014 6 08 10 1352-1357 |
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10.1007/s12555-014-0015-6 doi (DE-627)SPR026389436 (SPR)s12555-014-0015-6-e DE-627 ger DE-627 rakwb eng Makhlouf, Abdellatif Ben verfasserin aut A comment on “Exponential stability of nonlinear delay equation with constant decay rate via perturbed system method” 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result. Exponential stability (dpeaa)DE-He213 nonlinear inequality (dpeaa)DE-He213 time delay (dpeaa)DE-He213 time-varying systems (dpeaa)DE-He213 Hammami, Mohamed Ali aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 12(2014), 6 vom: 08. Okt., Seite 1352-1357 (DE-627)SPR026303256 nnns volume:12 year:2014 number:6 day:08 month:10 pages:1352-1357 https://dx.doi.org/10.1007/s12555-014-0015-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 12 2014 6 08 10 1352-1357 |
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10.1007/s12555-014-0015-6 doi (DE-627)SPR026389436 (SPR)s12555-014-0015-6-e DE-627 ger DE-627 rakwb eng Makhlouf, Abdellatif Ben verfasserin aut A comment on “Exponential stability of nonlinear delay equation with constant decay rate via perturbed system method” 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result. Exponential stability (dpeaa)DE-He213 nonlinear inequality (dpeaa)DE-He213 time delay (dpeaa)DE-He213 time-varying systems (dpeaa)DE-He213 Hammami, Mohamed Ali aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 12(2014), 6 vom: 08. Okt., Seite 1352-1357 (DE-627)SPR026303256 nnns volume:12 year:2014 number:6 day:08 month:10 pages:1352-1357 https://dx.doi.org/10.1007/s12555-014-0015-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 12 2014 6 08 10 1352-1357 |
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Makhlouf, Abdellatif Ben |
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Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 |
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Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 |
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Abstract In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2014 |
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A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Exponential stability</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nonlinear inequality</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">time delay</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">time-varying systems</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hammami, Mohamed Ali</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">International Journal of Control, Automation and Systems</subfield><subfield code="d">Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009</subfield><subfield code="g">12(2014), 6 vom: 08. 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