Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control
This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By...
Ausführliche Beschreibung
Autor*in: |
Wang, Pengfei [verfasserIn] Feng, Jiqiang [verfasserIn] Su, Huan [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2018 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Nonlinear analysis / Hybrid systems - Amsterdam [u.a.] : Elsevier Science, 2007, 32, Seite 115-130 |
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Übergeordnetes Werk: |
volume:32 ; pages:115-130 |
DOI / URN: |
10.1016/j.nahs.2018.11.003 |
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Katalog-ID: |
ELV001926284 |
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245 | 1 | 0 | |a Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control |
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520 | |a This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. | ||
650 | 4 | |a Stabilization | |
650 | 4 | |a Stochastic delayed networks | |
650 | 4 | |a Markovian switching | |
650 | 4 | |a Hybrid coupling | |
650 | 4 | |a Aperiodically intermittent control | |
700 | 1 | |a Feng, Jiqiang |e verfasserin |4 aut | |
700 | 1 | |a Su, Huan |e verfasserin |0 (orcid)0000-0001-8057-6664 |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Nonlinear analysis / Hybrid systems |d Amsterdam [u.a.] : Elsevier Science, 2007 |g 32, Seite 115-130 |h Online-Ressource |w (DE-627)534676480 |w (DE-600)2374344-X |w (DE-576)267195532 |x 1878-7460 |7 nnns |
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2018 |
allfields |
10.1016/j.nahs.2018.11.003 doi (DE-627)ELV001926284 (ELSEVIER)S1751-570X(18)30095-5 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl Wang, Pengfei verfasserin (orcid)0000-0002-3243-5194 aut Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. Stabilization Stochastic delayed networks Markovian switching Hybrid coupling Aperiodically intermittent control Feng, Jiqiang verfasserin aut Su, Huan verfasserin (orcid)0000-0001-8057-6664 aut Enthalten in Nonlinear analysis / Hybrid systems Amsterdam [u.a.] : Elsevier Science, 2007 32, Seite 115-130 Online-Ressource (DE-627)534676480 (DE-600)2374344-X (DE-576)267195532 1878-7460 nnns volume:32 pages:115-130 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.80 Angewandte Mathematik AR 32 115-130 |
spelling |
10.1016/j.nahs.2018.11.003 doi (DE-627)ELV001926284 (ELSEVIER)S1751-570X(18)30095-5 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl Wang, Pengfei verfasserin (orcid)0000-0002-3243-5194 aut Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. Stabilization Stochastic delayed networks Markovian switching Hybrid coupling Aperiodically intermittent control Feng, Jiqiang verfasserin aut Su, Huan verfasserin (orcid)0000-0001-8057-6664 aut Enthalten in Nonlinear analysis / Hybrid systems Amsterdam [u.a.] : Elsevier Science, 2007 32, Seite 115-130 Online-Ressource (DE-627)534676480 (DE-600)2374344-X (DE-576)267195532 1878-7460 nnns volume:32 pages:115-130 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.80 Angewandte Mathematik AR 32 115-130 |
allfields_unstemmed |
10.1016/j.nahs.2018.11.003 doi (DE-627)ELV001926284 (ELSEVIER)S1751-570X(18)30095-5 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl Wang, Pengfei verfasserin (orcid)0000-0002-3243-5194 aut Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. Stabilization Stochastic delayed networks Markovian switching Hybrid coupling Aperiodically intermittent control Feng, Jiqiang verfasserin aut Su, Huan verfasserin (orcid)0000-0001-8057-6664 aut Enthalten in Nonlinear analysis / Hybrid systems Amsterdam [u.a.] : Elsevier Science, 2007 32, Seite 115-130 Online-Ressource (DE-627)534676480 (DE-600)2374344-X (DE-576)267195532 1878-7460 nnns volume:32 pages:115-130 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.80 Angewandte Mathematik AR 32 115-130 |
allfieldsGer |
10.1016/j.nahs.2018.11.003 doi (DE-627)ELV001926284 (ELSEVIER)S1751-570X(18)30095-5 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl Wang, Pengfei verfasserin (orcid)0000-0002-3243-5194 aut Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. Stabilization Stochastic delayed networks Markovian switching Hybrid coupling Aperiodically intermittent control Feng, Jiqiang verfasserin aut Su, Huan verfasserin (orcid)0000-0001-8057-6664 aut Enthalten in Nonlinear analysis / Hybrid systems Amsterdam [u.a.] : Elsevier Science, 2007 32, Seite 115-130 Online-Ressource (DE-627)534676480 (DE-600)2374344-X (DE-576)267195532 1878-7460 nnns volume:32 pages:115-130 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.80 Angewandte Mathematik AR 32 115-130 |
allfieldsSound |
10.1016/j.nahs.2018.11.003 doi (DE-627)ELV001926284 (ELSEVIER)S1751-570X(18)30095-5 DE-627 ger DE-627 rda eng 510 DE-600 31.80 bkl Wang, Pengfei verfasserin (orcid)0000-0002-3243-5194 aut Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. Stabilization Stochastic delayed networks Markovian switching Hybrid coupling Aperiodically intermittent control Feng, Jiqiang verfasserin aut Su, Huan verfasserin (orcid)0000-0001-8057-6664 aut Enthalten in Nonlinear analysis / Hybrid systems Amsterdam [u.a.] : Elsevier Science, 2007 32, Seite 115-130 Online-Ressource (DE-627)534676480 (DE-600)2374344-X (DE-576)267195532 1878-7460 nnns volume:32 pages:115-130 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.80 Angewandte Mathematik AR 32 115-130 |
language |
English |
source |
Enthalten in Nonlinear analysis / Hybrid systems 32, Seite 115-130 volume:32 pages:115-130 |
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Wang, Pengfei @@aut@@ Feng, Jiqiang @@aut@@ Su, Huan @@aut@@ |
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2018-01-01T00:00:00Z |
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Wang, Pengfei |
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stabilization of stochastic delayed networks with markovian switching and hybrid nonlinear coupling via aperiodically intermittent control |
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Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control |
abstract |
This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. |
abstractGer |
This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. |
abstract_unstemmed |
This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling. |
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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">ELV001926284</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230524161201.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230429s2018 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.nahs.2018.11.003</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV001926284</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S1751-570X(18)30095-5</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">rda</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">DE-600</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.80</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Pengfei</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-3243-5194</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</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">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This paper concerns the stabilization problem of stochastic delayed networks with Markovian switching and hybrid coupling (SDNMH) via aperiodically intermittent control. Compared with the existing works on hybrid coupling, the hybrid coupling in this paper can be nonlinear, which is more general. By establishing a new differential inequality on delayed dynamical systems with Markovian switching, the stabilization problem of SDNMH via aperiodically intermittent control is studied. By means of Lyapunov method and graph-theoretic technique, two kinds of sufficient criteria are given. The derived results are closely related to the topology structure of the underlying network, the transition rate of Markov chain, the maximum proportion of rest time and the control gain. Finally, the theoretical results are tested by a class of coupled oscillators networks with Markovian switching and hybrid coupling.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stabilization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic delayed networks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Markovian switching</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hybrid coupling</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Aperiodically intermittent control</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Feng, Jiqiang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Su, Huan</subfield><subfield code="e">verfasserin</subfield><subfield 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