Finite-time stability of perturbed fractional-order systems with multiple time-varying delays
Само за регистроване кориснике
2015
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The theory and applications of fractional calculus had a considerable progress in recent decades.
Fractional calculus attracts much attention since it plays an important role in many fields of
science and engineering. Dynamical systems and control are one of the most active areas in
applications of fractional calculus. Especially, the study of stability and stabilization of fractionalorder
systems is very important. Time-delay systems are important class of dynamical systems,
since, in real world systems, delay is present everywhere. Considerable attention has been paid to
fractional dynamical systems with time delay. In this paper, a stability test procedure is suggested
for perturbed nonlinear nonhomogeneous fractional-order systems with time-varying delays.
Some basic results from the area of finite-time stability are extended to this class of fractionalorder
time-delay systems given in state-space form. Sufficient conditions for finite-time stability
are derived using rec...ently obtained generalized Gronwall inequality. Finally, a numerical
example is given to demonstrate the effectiveness of the presented analytical approaches.
Кључне речи:
finite-time stability / fractional order / time-varying delay / perturbed systemsИзвор:
Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, C1e, 2015, 1-8Издавач:
- Belgrade : Serbian Society of Mechanics
- Novi Sad : Faculty of Technical Sciences
Финансирање / пројекти:
- Одрживост и унапређење машинских система у енергетици и транспорту применом форензичког инжењерства, еко и робуст дизајна (RS-MESTD-Technological Development (TD or TR)-35006)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Mišljen, Mirko AU - Lazarević, Mihailo PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4249 AB - The theory and applications of fractional calculus had a considerable progress in recent decades. Fractional calculus attracts much attention since it plays an important role in many fields of science and engineering. Dynamical systems and control are one of the most active areas in applications of fractional calculus. Especially, the study of stability and stabilization of fractionalorder systems is very important. Time-delay systems are important class of dynamical systems, since, in real world systems, delay is present everywhere. Considerable attention has been paid to fractional dynamical systems with time delay. In this paper, a stability test procedure is suggested for perturbed nonlinear nonhomogeneous fractional-order systems with time-varying delays. Some basic results from the area of finite-time stability are extended to this class of fractionalorder time-delay systems given in state-space form. Sufficient conditions for finite-time stability are derived using recently obtained generalized Gronwall inequality. Finally, a numerical example is given to demonstrate the effectiveness of the presented analytical approaches. PB - Belgrade : Serbian Society of Mechanics PB - Novi Sad : Faculty of Technical Sciences C3 - Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, C1e T1 - Finite-time stability of perturbed fractional-order systems with multiple time-varying delays EP - 8 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_4249 ER -
@conference{ author = "Mišljen, Mirko and Lazarević, Mihailo", year = "2015", abstract = "The theory and applications of fractional calculus had a considerable progress in recent decades. Fractional calculus attracts much attention since it plays an important role in many fields of science and engineering. Dynamical systems and control are one of the most active areas in applications of fractional calculus. Especially, the study of stability and stabilization of fractionalorder systems is very important. Time-delay systems are important class of dynamical systems, since, in real world systems, delay is present everywhere. Considerable attention has been paid to fractional dynamical systems with time delay. In this paper, a stability test procedure is suggested for perturbed nonlinear nonhomogeneous fractional-order systems with time-varying delays. Some basic results from the area of finite-time stability are extended to this class of fractionalorder time-delay systems given in state-space form. Sufficient conditions for finite-time stability are derived using recently obtained generalized Gronwall inequality. Finally, a numerical example is given to demonstrate the effectiveness of the presented analytical approaches.", publisher = "Belgrade : Serbian Society of Mechanics, Novi Sad : Faculty of Technical Sciences", journal = "Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, C1e", title = "Finite-time stability of perturbed fractional-order systems with multiple time-varying delays", pages = "8-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_4249" }
Mišljen, M.,& Lazarević, M.. (2015). Finite-time stability of perturbed fractional-order systems with multiple time-varying delays. in Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, C1e Belgrade : Serbian Society of Mechanics., 1-8. https://hdl.handle.net/21.15107/rcub_machinery_4249
Mišljen M, Lazarević M. Finite-time stability of perturbed fractional-order systems with multiple time-varying delays. in Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, C1e. 2015;:1-8. https://hdl.handle.net/21.15107/rcub_machinery_4249 .
Mišljen, Mirko, Lazarević, Mihailo, "Finite-time stability of perturbed fractional-order systems with multiple time-varying delays" in Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, C1e (2015):1-8, https://hdl.handle.net/21.15107/rcub_machinery_4249 .