On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty
A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperati...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Badri, Vahid [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: IEEE transactions on automatic control - New York, NY : Inst., 1963, 62(2017), 12, Seite 6423-6429 |
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| Übergeordnetes Werk: |
volume:62 ; year:2017 ; number:12 ; pages:6423-6429 |
| Links: |
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| DOI / URN: |
10.1109/TAC.2017.2663839 |
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| Katalog-ID: |
OLC1998665755 |
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| 520 | |a A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. | ||
| 650 | 4 | |a polytopic uncertainty | |
| 650 | 4 | |a Lyapunov stability | |
| 650 | 4 | |a cooperative system | |
| 650 | 4 | |a Upper bound | |
| 650 | 4 | |a Uncertainty | |
| 650 | 4 | |a Stability criteria | |
| 650 | 4 | |a Boundedness | |
| 650 | 4 | |a Numerical stability | |
| 650 | 4 | |a Lyapunov methods | |
| 650 | 4 | |a long-time behavior | |
| 650 | 4 | |a Trajectory | |
| 650 | 4 | |a Lotka–Volterra (LV) system | |
| 700 | 1 | |a Yazdanpanah, M. J |4 oth | |
| 700 | 1 | |a Tavazoei, Mohammad Saleh |4 oth | |
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10.1109/TAC.2017.2663839 doi PQ20171228 (DE-627)OLC1998665755 (DE-599)GBVOLC1998665755 (PRQ)c1069-90d8a0b08132e5192ec024e005b716e30c4c26043a7e4e9d2d9f22fa94e5c9490 (KEY)0005057120170000062001206423onstabilityandtrajectoryboundednessoflotkavolterra DE-627 ger DE-627 rakwb eng 620 DNB Badri, Vahid verfasserin aut On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. polytopic uncertainty Lyapunov stability cooperative system Upper bound Uncertainty Stability criteria Boundedness Numerical stability Lyapunov methods long-time behavior Trajectory Lotka–Volterra (LV) system Yazdanpanah, M. J oth Tavazoei, Mohammad Saleh oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 12, Seite 6423-6429 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:12 pages:6423-6429 http://dx.doi.org/10.1109/TAC.2017.2663839 Volltext http://ieeexplore.ieee.org/document/7840010 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 12 6423-6429 |
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10.1109/TAC.2017.2663839 doi PQ20171228 (DE-627)OLC1998665755 (DE-599)GBVOLC1998665755 (PRQ)c1069-90d8a0b08132e5192ec024e005b716e30c4c26043a7e4e9d2d9f22fa94e5c9490 (KEY)0005057120170000062001206423onstabilityandtrajectoryboundednessoflotkavolterra DE-627 ger DE-627 rakwb eng 620 DNB Badri, Vahid verfasserin aut On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. polytopic uncertainty Lyapunov stability cooperative system Upper bound Uncertainty Stability criteria Boundedness Numerical stability Lyapunov methods long-time behavior Trajectory Lotka–Volterra (LV) system Yazdanpanah, M. J oth Tavazoei, Mohammad Saleh oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 12, Seite 6423-6429 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:12 pages:6423-6429 http://dx.doi.org/10.1109/TAC.2017.2663839 Volltext http://ieeexplore.ieee.org/document/7840010 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 12 6423-6429 |
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10.1109/TAC.2017.2663839 doi PQ20171228 (DE-627)OLC1998665755 (DE-599)GBVOLC1998665755 (PRQ)c1069-90d8a0b08132e5192ec024e005b716e30c4c26043a7e4e9d2d9f22fa94e5c9490 (KEY)0005057120170000062001206423onstabilityandtrajectoryboundednessoflotkavolterra DE-627 ger DE-627 rakwb eng 620 DNB Badri, Vahid verfasserin aut On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. polytopic uncertainty Lyapunov stability cooperative system Upper bound Uncertainty Stability criteria Boundedness Numerical stability Lyapunov methods long-time behavior Trajectory Lotka–Volterra (LV) system Yazdanpanah, M. J oth Tavazoei, Mohammad Saleh oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 12, Seite 6423-6429 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:12 pages:6423-6429 http://dx.doi.org/10.1109/TAC.2017.2663839 Volltext http://ieeexplore.ieee.org/document/7840010 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 12 6423-6429 |
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10.1109/TAC.2017.2663839 doi PQ20171228 (DE-627)OLC1998665755 (DE-599)GBVOLC1998665755 (PRQ)c1069-90d8a0b08132e5192ec024e005b716e30c4c26043a7e4e9d2d9f22fa94e5c9490 (KEY)0005057120170000062001206423onstabilityandtrajectoryboundednessoflotkavolterra DE-627 ger DE-627 rakwb eng 620 DNB Badri, Vahid verfasserin aut On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. polytopic uncertainty Lyapunov stability cooperative system Upper bound Uncertainty Stability criteria Boundedness Numerical stability Lyapunov methods long-time behavior Trajectory Lotka–Volterra (LV) system Yazdanpanah, M. J oth Tavazoei, Mohammad Saleh oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 12, Seite 6423-6429 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:12 pages:6423-6429 http://dx.doi.org/10.1109/TAC.2017.2663839 Volltext http://ieeexplore.ieee.org/document/7840010 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 12 6423-6429 |
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10.1109/TAC.2017.2663839 doi PQ20171228 (DE-627)OLC1998665755 (DE-599)GBVOLC1998665755 (PRQ)c1069-90d8a0b08132e5192ec024e005b716e30c4c26043a7e4e9d2d9f22fa94e5c9490 (KEY)0005057120170000062001206423onstabilityandtrajectoryboundednessoflotkavolterra DE-627 ger DE-627 rakwb eng 620 DNB Badri, Vahid verfasserin aut On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. polytopic uncertainty Lyapunov stability cooperative system Upper bound Uncertainty Stability criteria Boundedness Numerical stability Lyapunov methods long-time behavior Trajectory Lotka–Volterra (LV) system Yazdanpanah, M. J oth Tavazoei, Mohammad Saleh oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 12, Seite 6423-6429 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:12 pages:6423-6429 http://dx.doi.org/10.1109/TAC.2017.2663839 Volltext http://ieeexplore.ieee.org/document/7840010 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 12 6423-6429 |
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| author |
Badri, Vahid |
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Badri, Vahid ddc 620 misc polytopic uncertainty misc Lyapunov stability misc cooperative system misc Upper bound misc Uncertainty misc Stability criteria misc Boundedness misc Numerical stability misc Lyapunov methods misc long-time behavior misc Trajectory misc Lotka–Volterra (LV) system On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty |
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620 DNB On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty polytopic uncertainty Lyapunov stability cooperative system Upper bound Uncertainty Stability criteria Boundedness Numerical stability Lyapunov methods long-time behavior Trajectory Lotka–Volterra (LV) system |
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ddc 620 misc polytopic uncertainty misc Lyapunov stability misc cooperative system misc Upper bound misc Uncertainty misc Stability criteria misc Boundedness misc Numerical stability misc Lyapunov methods misc long-time behavior misc Trajectory misc Lotka–Volterra (LV) system |
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ddc 620 misc polytopic uncertainty misc Lyapunov stability misc cooperative system misc Upper bound misc Uncertainty misc Stability criteria misc Boundedness misc Numerical stability misc Lyapunov methods misc long-time behavior misc Trajectory misc Lotka–Volterra (LV) system |
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ddc 620 misc polytopic uncertainty misc Lyapunov stability misc cooperative system misc Upper bound misc Uncertainty misc Stability criteria misc Boundedness misc Numerical stability misc Lyapunov methods misc long-time behavior misc Trajectory misc Lotka–Volterra (LV) system |
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On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty |
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On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty |
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on stability and trajectory boundedness of lotka–volterra systems with polytopic uncertainty |
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On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty |
| abstract |
A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. |
| abstractGer |
A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. |
| abstract_unstemmed |
A new approach is proposed to study the stability property of the feasible equilibrium point and the trajectory boundedness of the Lotka-Volterra (LV) dynamics in the presence of polytopic uncertainties. Stability analysis of general LV systems is not straightforward in comparison with its cooperative counterpart. It is shown that, under specific conditions, the trajectory of the cooperative counterpart of the LV system can be considered as an upper bound for the trajectory of the corresponding dynamics. Consequently, the stability of the cooperative counterpart of the LV system leads to boundedness of the trajectory. The obtained results are extended for the LV systems with polytopic uncertainties. It is shown that under specific conditions, there is a region which the trajectory of the system belongs to it as time tends to infinity. Also, the stability of LV systems with polytopic uncertainty is investigated. The obtained results are confirmed through some numerical/application-based examples. |
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On Stability and Trajectory Boundedness of Lotka–Volterra Systems With Polytopic Uncertainty |
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Yazdanpanah, M. J Tavazoei, Mohammad Saleh |
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