Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
Апстракт
In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure.
Кључне речи:
Time-delay systems / Stability analysis / Fractional calculusИзвор:
Mathematical and Computer Modelling, 2009, 49, 3-4, 475-481Издавач:
- Pergamon-Elsevier Science Ltd, Oxford
Финансирање / пројекти:
- Фини дисперзни системи: микро-, нано-, ато-инжењерство (RS-MESTD-MPN2006-2010-142034)
DOI: 10.1016/j.mcm.2008.09.011
ISSN: 0895-7177
WoS: 000262124500007
Scopus: 2-s2.0-58149145450
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Lazarević, Mihailo AU - Spasić, Aleksandar M. PY - 2009 UR - https://machinery.mas.bg.ac.rs/handle/123456789/959 AB - In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Mathematical and Computer Modelling T1 - Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach EP - 481 IS - 3-4 SP - 475 VL - 49 DO - 10.1016/j.mcm.2008.09.011 ER -
@article{ author = "Lazarević, Mihailo and Spasić, Aleksandar M.", year = "2009", abstract = "In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Mathematical and Computer Modelling", title = "Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach", pages = "481-475", number = "3-4", volume = "49", doi = "10.1016/j.mcm.2008.09.011" }
Lazarević, M.,& Spasić, A. M.. (2009). Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach. in Mathematical and Computer Modelling Pergamon-Elsevier Science Ltd, Oxford., 49(3-4), 475-481. https://doi.org/10.1016/j.mcm.2008.09.011
Lazarević M, Spasić AM. Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach. in Mathematical and Computer Modelling. 2009;49(3-4):475-481. doi:10.1016/j.mcm.2008.09.011 .
Lazarević, Mihailo, Spasić, Aleksandar M., "Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach" in Mathematical and Computer Modelling, 49, no. 3-4 (2009):475-481, https://doi.org/10.1016/j.mcm.2008.09.011 . .