Finite Time Partial Stability of Fractional Order Time Delay Systems
Abstract
This paper proposes sufficient conditions for finite time stability for the (non)homogeneous
fractional order systems with time delay. Specially, the problem of finite time stability with respect to
some of the variables (partial stability) is considered. 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 provided to illustrate the
application of the proposed stability procedure.
Keywords:
stability criteria / fractional calculus / partial stability / time delay / finite-time stabilitySource:
Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, May 14-17 2012, Hohai University, Nanjing, China, 2012, no.147 1-6Publisher:
- China, Nanjing: Hohai University
Funding / projects:
- EUREKA project-E!4930
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5164 AB - This paper proposes sufficient conditions for finite time stability for the (non)homogeneous fractional order systems with time delay. Specially, the problem of finite time stability with respect to some of the variables (partial stability) is considered. 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 provided to illustrate the application of the proposed stability procedure. PB - China, Nanjing: Hohai University C3 - Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, May 14-17 2012, Hohai University, Nanjing, China T1 - Finite Time Partial Stability of Fractional Order Time Delay Systems EP - 6 SP - no.147 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_5164 ER -
@conference{ author = "Lazarević, Mihailo", year = "2012", abstract = "This paper proposes sufficient conditions for finite time stability for the (non)homogeneous fractional order systems with time delay. Specially, the problem of finite time stability with respect to some of the variables (partial stability) is considered. 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 provided to illustrate the application of the proposed stability procedure.", publisher = "China, Nanjing: Hohai University", journal = "Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, May 14-17 2012, Hohai University, Nanjing, China", title = "Finite Time Partial Stability of Fractional Order Time Delay Systems", pages = "6-no.147 1", url = "https://hdl.handle.net/21.15107/rcub_machinery_5164" }
Lazarević, M.. (2012). Finite Time Partial Stability of Fractional Order Time Delay Systems. in Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, May 14-17 2012, Hohai University, Nanjing, China China, Nanjing: Hohai University., no.147 1-6. https://hdl.handle.net/21.15107/rcub_machinery_5164
Lazarević M. Finite Time Partial Stability of Fractional Order Time Delay Systems. in Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, May 14-17 2012, Hohai University, Nanjing, China. 2012;:no.147 1-6. https://hdl.handle.net/21.15107/rcub_machinery_5164 .
Lazarević, Mihailo, "Finite Time Partial Stability of Fractional Order Time Delay Systems" in Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, May 14-17 2012, Hohai University, Nanjing, China (2012):no.147 1-6, https://hdl.handle.net/21.15107/rcub_machinery_5164 .