Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain
This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yang, Tao [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: IEEE transactions on circuits and systems / 2 - New York, NY : Institute of Electrical and Electronics Engineers, 1992, 63(2016), 4, Seite 391-395 |
|---|---|
| Übergeordnetes Werk: |
volume:63 ; year:2016 ; number:4 ; pages:391-395 |
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| DOI / URN: |
10.1109/TCSII.2015.2504011 |
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| 520 | |a This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. | ||
| 650 | 4 | |a Switches | |
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| 700 | 1 | |a Ren, Wei |4 oth | |
| 700 | 1 | |a Johansson, Karl H |4 oth | |
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10.1109/TCSII.2015.2504011 doi PQ20160430 (DE-627)OLC1974177823 (DE-599)GBVOLC1974177823 (PRQ)c72e-89895e06ddb440d8d15013993007de1b1db0d47f05c87f15b41672eb0037a04b0 (KEY)0213975820160000063000400391synchronizationofcouplednonlineardynamicalsystemsi DE-627 ger DE-627 rakwb eng 000 620 DNB Yang, Tao verfasserin aut Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. Switches Time-varying systems Multi-agent systems Synchronization Electronic mail Circuits and systems Couplings time-varying interaction Nonlinear dynamical systems Meng, Ziyang oth Ren, Wei oth Johansson, Karl H oth Enthalten in IEEE transactions on circuits and systems / 2 New York, NY : Institute of Electrical and Electronics Engineers, 1992 63(2016), 4, Seite 391-395 (DE-627)131044753 (DE-600)1100793-X (DE-576)028047451 1549-7747 nnns volume:63 year:2016 number:4 pages:391-395 http://dx.doi.org/10.1109/TCSII.2015.2504011 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7337445 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 AR 63 2016 4 391-395 |
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10.1109/TCSII.2015.2504011 doi PQ20160430 (DE-627)OLC1974177823 (DE-599)GBVOLC1974177823 (PRQ)c72e-89895e06ddb440d8d15013993007de1b1db0d47f05c87f15b41672eb0037a04b0 (KEY)0213975820160000063000400391synchronizationofcouplednonlineardynamicalsystemsi DE-627 ger DE-627 rakwb eng 000 620 DNB Yang, Tao verfasserin aut Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. Switches Time-varying systems Multi-agent systems Synchronization Electronic mail Circuits and systems Couplings time-varying interaction Nonlinear dynamical systems Meng, Ziyang oth Ren, Wei oth Johansson, Karl H oth Enthalten in IEEE transactions on circuits and systems / 2 New York, NY : Institute of Electrical and Electronics Engineers, 1992 63(2016), 4, Seite 391-395 (DE-627)131044753 (DE-600)1100793-X (DE-576)028047451 1549-7747 nnns volume:63 year:2016 number:4 pages:391-395 http://dx.doi.org/10.1109/TCSII.2015.2504011 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7337445 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 AR 63 2016 4 391-395 |
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10.1109/TCSII.2015.2504011 doi PQ20160430 (DE-627)OLC1974177823 (DE-599)GBVOLC1974177823 (PRQ)c72e-89895e06ddb440d8d15013993007de1b1db0d47f05c87f15b41672eb0037a04b0 (KEY)0213975820160000063000400391synchronizationofcouplednonlineardynamicalsystemsi DE-627 ger DE-627 rakwb eng 000 620 DNB Yang, Tao verfasserin aut Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. Switches Time-varying systems Multi-agent systems Synchronization Electronic mail Circuits and systems Couplings time-varying interaction Nonlinear dynamical systems Meng, Ziyang oth Ren, Wei oth Johansson, Karl H oth Enthalten in IEEE transactions on circuits and systems / 2 New York, NY : Institute of Electrical and Electronics Engineers, 1992 63(2016), 4, Seite 391-395 (DE-627)131044753 (DE-600)1100793-X (DE-576)028047451 1549-7747 nnns volume:63 year:2016 number:4 pages:391-395 http://dx.doi.org/10.1109/TCSII.2015.2504011 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7337445 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 AR 63 2016 4 391-395 |
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10.1109/TCSII.2015.2504011 doi PQ20160430 (DE-627)OLC1974177823 (DE-599)GBVOLC1974177823 (PRQ)c72e-89895e06ddb440d8d15013993007de1b1db0d47f05c87f15b41672eb0037a04b0 (KEY)0213975820160000063000400391synchronizationofcouplednonlineardynamicalsystemsi DE-627 ger DE-627 rakwb eng 000 620 DNB Yang, Tao verfasserin aut Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. Switches Time-varying systems Multi-agent systems Synchronization Electronic mail Circuits and systems Couplings time-varying interaction Nonlinear dynamical systems Meng, Ziyang oth Ren, Wei oth Johansson, Karl H oth Enthalten in IEEE transactions on circuits and systems / 2 New York, NY : Institute of Electrical and Electronics Engineers, 1992 63(2016), 4, Seite 391-395 (DE-627)131044753 (DE-600)1100793-X (DE-576)028047451 1549-7747 nnns volume:63 year:2016 number:4 pages:391-395 http://dx.doi.org/10.1109/TCSII.2015.2504011 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7337445 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 AR 63 2016 4 391-395 |
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10.1109/TCSII.2015.2504011 doi PQ20160430 (DE-627)OLC1974177823 (DE-599)GBVOLC1974177823 (PRQ)c72e-89895e06ddb440d8d15013993007de1b1db0d47f05c87f15b41672eb0037a04b0 (KEY)0213975820160000063000400391synchronizationofcouplednonlineardynamicalsystemsi DE-627 ger DE-627 rakwb eng 000 620 DNB Yang, Tao verfasserin aut Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. Switches Time-varying systems Multi-agent systems Synchronization Electronic mail Circuits and systems Couplings time-varying interaction Nonlinear dynamical systems Meng, Ziyang oth Ren, Wei oth Johansson, Karl H oth Enthalten in IEEE transactions on circuits and systems / 2 New York, NY : Institute of Electrical and Electronics Engineers, 1992 63(2016), 4, Seite 391-395 (DE-627)131044753 (DE-600)1100793-X (DE-576)028047451 1549-7747 nnns volume:63 year:2016 number:4 pages:391-395 http://dx.doi.org/10.1109/TCSII.2015.2504011 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7337445 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 AR 63 2016 4 391-395 |
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Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain |
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This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. |
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This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. |
| abstract_unstemmed |
This brief considers the synchronization problem of coupled nonlinear dynamical systems over time-varying interaction graphs. We first show that infinite joint connectivity is necessary for achieving globally asymptotic synchronization. We then show that the commonly used Lipschitz condition on the nonlinear self-dynamics is not sufficient to ensure synchronization even for an arbitrarily large coupling strength. A sufficient synchronization condition is established in terms of the times of connectivity, the integral of the Lipschitz gain, and the network parameters. |
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| title_short |
Synchronization of Coupled Nonlinear Dynamical Systems: Interplay Between Times of Connectivity and Integral of Lipschitz Gain |
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http://dx.doi.org/10.1109/TCSII.2015.2504011 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7337445 |
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Meng, Ziyang Ren, Wei Johansson, Karl H |
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Meng, Ziyang Ren, Wei Johansson, Karl H |
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10.1109/TCSII.2015.2504011 |
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2024-07-04T03:55:52.851Z |
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