Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach
Само за регистроване кориснике
2010
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this paper, new stability criteria for this class of fractional order systems were derived by
applying generalized Gronwall inequality where robust finite-time stability analysis for a
class of perturbed nonlinear fractional order systems with time invariant delay was
considered. Sufficient conditions of this kind of stability are obtained for previously
considered fractional differential system given in state space form. In that way, one can check
system stability over finite time interval.
Кључне речи:
finite time stability / Bellman-Gronwall approach / Time delayed systemsИзвор:
Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010., 2010, 1-15Издавач:
- Prague: Czech society of chemical engineering
Финансирање / пројекти:
- Фини дисперзни системи: микро-, нано-, ато-инжењерство (RS-MESTD-MPN2006-2010-142034)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Bučanović, Ljubiša AU - Spasić, Aleksandar PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4993 AB - In this paper, new stability criteria for this class of fractional order systems were derived by applying generalized Gronwall inequality where robust finite-time stability analysis for a class of perturbed nonlinear fractional order systems with time invariant delay was considered. Sufficient conditions of this kind of stability are obtained for previously considered fractional differential system given in state space form. In that way, one can check system stability over finite time interval. PB - Prague: Czech society of chemical engineering C3 - Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. T1 - Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach EP - 15 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_4993 ER -
@conference{ author = "Lazarević, Mihailo and Bučanović, Ljubiša and Spasić, Aleksandar", year = "2010", abstract = "In this paper, new stability criteria for this class of fractional order systems were derived by applying generalized Gronwall inequality where robust finite-time stability analysis for a class of perturbed nonlinear fractional order systems with time invariant delay was considered. Sufficient conditions of this kind of stability are obtained for previously considered fractional differential system given in state space form. In that way, one can check system stability over finite time interval.", publisher = "Prague: Czech society of chemical engineering", journal = "Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.", title = "Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach", pages = "15-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_4993" }
Lazarević, M., Bučanović, L.,& Spasić, A.. (2010). Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. Prague: Czech society of chemical engineering., 1-15. https://hdl.handle.net/21.15107/rcub_machinery_4993
Lazarević M, Bučanović L, Spasić A. Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.. 2010;:1-15. https://hdl.handle.net/21.15107/rcub_machinery_4993 .
Lazarević, Mihailo, Bučanović, Ljubiša, Spasić, Aleksandar, "Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach" in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. (2010):1-15, https://hdl.handle.net/21.15107/rcub_machinery_4993 .