New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems

Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. The...
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Autor*in:	Lenka, Bichitra Kumar [verfasserIn] Bora, Swaroop Nandan

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Real-order system Nonlinear system Time-delay system Asymptotic stability Nonlinear control

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Nonlinear dynamics - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990, 111(2022), 5 vom: 07. Nov., Seite 4469-4484
Übergeordnetes Werk:	volume:111 ; year:2022 ; number:5 ; day:07 ; month:11 ; pages:4469-4484

Links:	Volltext

DOI / URN:	10.1007/s11071-022-08060-8

Katalog-ID:	SPR04914247X

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allfields	10.1007/s11071-022-08060-8 doi (DE-627)SPR04914247X (SPR)s11071-022-08060-8-e DE-627 ger DE-627 rakwb eng Lenka, Bichitra Kumar verfasserin aut New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. Real-order system (dpeaa)DE-He213 Nonlinear system (dpeaa)DE-He213 Time-delay system (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Nonlinear control (dpeaa)DE-He213 Bora, Swaroop Nandan (orcid)0000-0003-3242-1638 aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2022), 5 vom: 07. Nov., Seite 4469-4484 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2022 number:5 day:07 month:11 pages:4469-4484 https://dx.doi.org/10.1007/s11071-022-08060-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2022 5 07 11 4469-4484
spelling	10.1007/s11071-022-08060-8 doi (DE-627)SPR04914247X (SPR)s11071-022-08060-8-e DE-627 ger DE-627 rakwb eng Lenka, Bichitra Kumar verfasserin aut New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. Real-order system (dpeaa)DE-He213 Nonlinear system (dpeaa)DE-He213 Time-delay system (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Nonlinear control (dpeaa)DE-He213 Bora, Swaroop Nandan (orcid)0000-0003-3242-1638 aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2022), 5 vom: 07. Nov., Seite 4469-4484 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2022 number:5 day:07 month:11 pages:4469-4484 https://dx.doi.org/10.1007/s11071-022-08060-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2022 5 07 11 4469-4484
allfields_unstemmed	10.1007/s11071-022-08060-8 doi (DE-627)SPR04914247X (SPR)s11071-022-08060-8-e DE-627 ger DE-627 rakwb eng Lenka, Bichitra Kumar verfasserin aut New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. Real-order system (dpeaa)DE-He213 Nonlinear system (dpeaa)DE-He213 Time-delay system (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Nonlinear control (dpeaa)DE-He213 Bora, Swaroop Nandan (orcid)0000-0003-3242-1638 aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2022), 5 vom: 07. Nov., Seite 4469-4484 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2022 number:5 day:07 month:11 pages:4469-4484 https://dx.doi.org/10.1007/s11071-022-08060-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2022 5 07 11 4469-4484
allfieldsGer	10.1007/s11071-022-08060-8 doi (DE-627)SPR04914247X (SPR)s11071-022-08060-8-e DE-627 ger DE-627 rakwb eng Lenka, Bichitra Kumar verfasserin aut New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. Real-order system (dpeaa)DE-He213 Nonlinear system (dpeaa)DE-He213 Time-delay system (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Nonlinear control (dpeaa)DE-He213 Bora, Swaroop Nandan (orcid)0000-0003-3242-1638 aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2022), 5 vom: 07. Nov., Seite 4469-4484 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2022 number:5 day:07 month:11 pages:4469-4484 https://dx.doi.org/10.1007/s11071-022-08060-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2022 5 07 11 4469-4484
allfieldsSound	10.1007/s11071-022-08060-8 doi (DE-627)SPR04914247X (SPR)s11071-022-08060-8-e DE-627 ger DE-627 rakwb eng Lenka, Bichitra Kumar verfasserin aut New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. Real-order system (dpeaa)DE-He213 Nonlinear system (dpeaa)DE-He213 Time-delay system (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Nonlinear control (dpeaa)DE-He213 Bora, Swaroop Nandan (orcid)0000-0003-3242-1638 aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2022), 5 vom: 07. Nov., Seite 4469-4484 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2022 number:5 day:07 month:11 pages:4469-4484 https://dx.doi.org/10.1007/s11071-022-08060-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2022 5 07 11 4469-4484
language	English
source	Enthalten in Nonlinear dynamics 111(2022), 5 vom: 07. Nov., Seite 4469-4484 volume:111 year:2022 number:5 day:07 month:11 pages:4469-4484
sourceStr	Enthalten in Nonlinear dynamics 111(2022), 5 vom: 07. Nov., Seite 4469-4484 volume:111 year:2022 number:5 day:07 month:11 pages:4469-4484
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Real-order system Nonlinear system Time-delay system Asymptotic stability Nonlinear control
isfreeaccess_bool	false
container_title	Nonlinear dynamics
authorswithroles_txt_mv	Lenka, Bichitra Kumar @@aut@@ Bora, Swaroop Nandan @@aut@@
publishDateDaySort_date	2022-11-07T00:00:00Z
hierarchy_top_id	315297034
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language_de	englisch
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author	Lenka, Bichitra Kumar
spellingShingle	Lenka, Bichitra Kumar misc Real-order system misc Nonlinear system misc Time-delay system misc Asymptotic stability misc Nonlinear control New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems
authorStr	Lenka, Bichitra Kumar
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topic_title	New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems Real-order system (dpeaa)DE-He213 Nonlinear system (dpeaa)DE-He213 Time-delay system (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Nonlinear control (dpeaa)DE-He213
topic	misc Real-order system misc Nonlinear system misc Time-delay system misc Asymptotic stability misc Nonlinear control
topic_unstemmed	misc Real-order system misc Nonlinear system misc Time-delay system misc Asymptotic stability misc Nonlinear control
topic_browse	misc Real-order system misc Nonlinear system misc Time-delay system misc Asymptotic stability misc Nonlinear control
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems
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title_full	New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems
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author_browse	Lenka, Bichitra Kumar Bora, Swaroop Nandan
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author-letter	Lenka, Bichitra Kumar
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title_sort	new criteria for asymptotic stability of a class of nonlinear real-order time-delay systems
title_auth	New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems
abstract	Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems
url	https://dx.doi.org/10.1007/s11071-022-08060-8
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author2	Bora, Swaroop Nandan
author2Str	Bora, Swaroop Nandan
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doi_str	10.1007/s11071-022-08060-8
up_date	2024-07-03T23:31:09.415Z
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. 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