Further results on finite time partial stability of fractional order time delay systems
Abstract
This paper proposes sufficient conditions for finite time partial stability for the (non) homogeneous fractional order systems with time varying delay. New stability criteria for this class of fractional order systems are derived using "classical" Bellman-Gronwall inequality as well as a suitable "fractional" inequality instead of generalized Gronwall inequality. Finally, a numerical example is given to illustrate the application of the proposed stability procedure.
Keywords:
Time delay / Stability criteria / Partial stability / Fractional calculus / Finite-time stabilitySource:
IFAC Proceedings Volumes (IFAC-PapersOnline), 2013, 46, 1, 155-160Publisher:
- IFAC Secretariat
Funding / projects:
- Development of methods and techniques for early diagnostic of cervical, colon, oral cavity cancer and melanoma based on a digital image and excitation-emission spectrum in visible and infrared domain (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- 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 - 2013 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1809 AB - This paper proposes sufficient conditions for finite time partial stability for the (non) homogeneous fractional order systems with time varying delay. New stability criteria for this class of fractional order systems are derived using "classical" Bellman-Gronwall inequality as well as a suitable "fractional" inequality instead of generalized Gronwall inequality. Finally, a numerical example is given to illustrate the application of the proposed stability procedure. PB - IFAC Secretariat C3 - IFAC Proceedings Volumes (IFAC-PapersOnline) T1 - Further results on finite time partial stability of fractional order time delay systems EP - 160 IS - 1 SP - 155 VL - 46 DO - 10.3182/20130204-3-FR-4032.00223 ER -
@conference{ author = "Lazarević, Mihailo", year = "2013", abstract = "This paper proposes sufficient conditions for finite time partial stability for the (non) homogeneous fractional order systems with time varying delay. New stability criteria for this class of fractional order systems are derived using "classical" Bellman-Gronwall inequality as well as a suitable "fractional" inequality instead of generalized Gronwall inequality. Finally, a numerical example is given to illustrate the application of the proposed stability procedure.", publisher = "IFAC Secretariat", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", title = "Further results on finite time partial stability of fractional order time delay systems", pages = "160-155", number = "1", volume = "46", doi = "10.3182/20130204-3-FR-4032.00223" }
Lazarević, M.. (2013). Further results on finite time partial stability of fractional order time delay systems. in IFAC Proceedings Volumes (IFAC-PapersOnline) IFAC Secretariat., 46(1), 155-160. https://doi.org/10.3182/20130204-3-FR-4032.00223
Lazarević M. Further results on finite time partial stability of fractional order time delay systems. in IFAC Proceedings Volumes (IFAC-PapersOnline). 2013;46(1):155-160. doi:10.3182/20130204-3-FR-4032.00223 .
Lazarević, Mihailo, "Further results on finite time partial stability of fractional order time delay systems" in IFAC Proceedings Volumes (IFAC-PapersOnline), 46, no. 1 (2013):155-160, https://doi.org/10.3182/20130204-3-FR-4032.00223 . .