Non-Lyapunov Stability and Stabilization of Fractional Order Systems Including Time-Varying Delays
Само за регистроване кориснике
2011
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
This paper gives sufficient conditions for finite time stability and stabilization for perturbed
nonlinear (non)homogeneous fractional order systems with time-varying delay. New stability criteria for this class of fractional order systems were derived using a recently obtained generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Last, a numerical example is given to illustrate the validity of the proposed procedure.
Кључне речи:
Stability criteria / Non-Lyapunov / Stabilization / Analysis / Fractional calculus / Time Varying delayИзвор:
Proceedings of the 15th WSEAS International Conference on Systems (Part of the 15th WSEAS CSCC Multiconference), Corfu Island, Greece July 14-16, 2011, 2011, 196-201Издавач:
- WSEAS Press
Финансирање / пројекти:
- EUREKA project E!4930
- Одрживост и унапређење машинских система у енергетици и транспорту применом форензичког инжењерства, еко и робуст дизајна (RS-MESTD-Technological Development (TD or TR)-35006)
- Развој нових метода и техника за рану дијагностику канцера грлића материце, дебелог црева, усне дупље и меланома на бази дигиталне слике и ексцитационо-емисионих спектара у видљивом и инфрацрвеном домену (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo PY - 2011 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4829 AB - This paper gives sufficient conditions for finite time stability and stabilization for perturbed nonlinear (non)homogeneous fractional order systems with time-varying delay. New stability criteria for this class of fractional order systems were derived using a recently obtained generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Last, a numerical example is given to illustrate the validity of the proposed procedure. PB - WSEAS Press C3 - Proceedings of the 15th WSEAS International Conference on Systems (Part of the 15th WSEAS CSCC Multiconference), Corfu Island, Greece July 14-16, 2011 T1 - Non-Lyapunov Stability and Stabilization of Fractional Order Systems Including Time-Varying Delays EP - 201 SP - 196 UR - https://hdl.handle.net/21.15107/rcub_machinery_4829 ER -
@conference{ author = "Lazarević, Mihailo", year = "2011", abstract = "This paper gives sufficient conditions for finite time stability and stabilization for perturbed nonlinear (non)homogeneous fractional order systems with time-varying delay. New stability criteria for this class of fractional order systems were derived using a recently obtained generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Last, a numerical example is given to illustrate the validity of the proposed procedure.", publisher = "WSEAS Press", journal = "Proceedings of the 15th WSEAS International Conference on Systems (Part of the 15th WSEAS CSCC Multiconference), Corfu Island, Greece July 14-16, 2011", title = "Non-Lyapunov Stability and Stabilization of Fractional Order Systems Including Time-Varying Delays", pages = "201-196", url = "https://hdl.handle.net/21.15107/rcub_machinery_4829" }
Lazarević, M.. (2011). Non-Lyapunov Stability and Stabilization of Fractional Order Systems Including Time-Varying Delays. in Proceedings of the 15th WSEAS International Conference on Systems (Part of the 15th WSEAS CSCC Multiconference), Corfu Island, Greece July 14-16, 2011 WSEAS Press., 196-201. https://hdl.handle.net/21.15107/rcub_machinery_4829
Lazarević M. Non-Lyapunov Stability and Stabilization of Fractional Order Systems Including Time-Varying Delays. in Proceedings of the 15th WSEAS International Conference on Systems (Part of the 15th WSEAS CSCC Multiconference), Corfu Island, Greece July 14-16, 2011. 2011;:196-201. https://hdl.handle.net/21.15107/rcub_machinery_4829 .
Lazarević, Mihailo, "Non-Lyapunov Stability and Stabilization of Fractional Order Systems Including Time-Varying Delays" in Proceedings of the 15th WSEAS International Conference on Systems (Part of the 15th WSEAS CSCC Multiconference), Corfu Island, Greece July 14-16, 2011 (2011):196-201, https://hdl.handle.net/21.15107/rcub_machinery_4829 .