Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach
Апстракт
Stability results for finite-dimensional linear nonautonomous time delay fractional differential systems are given in state space form. These problems have not yet been analyzed for this class of linear time-delay fractional order systems. Sufficient conditions for this kind of stability are derived by applying Bellman-Gronwall theorem. Therefore, one can check system stability over finite time interval, using simple example of SISO system.
Кључне речи:
Bellman-Gronwall approach / finite time stability / sufficient conditionsИзвор:
Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005, P18-22, 2005, 1-11Издавач:
- UK Scotland :Institution of Chemical Engineers
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Spasić, Aleksandar PY - 2005 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6750 AB - Stability results for finite-dimensional linear nonautonomous time delay fractional differential systems are given in state space form. These problems have not yet been analyzed for this class of linear time-delay fractional order systems. Sufficient conditions for this kind of stability are derived by applying Bellman-Gronwall theorem. Therefore, one can check system stability over finite time interval, using simple example of SISO system. PB - UK Scotland :Institution of Chemical Engineers C3 - Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005, P18-22 T1 - Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach EP - 11 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_6750 ER -
@conference{ author = "Lazarević, Mihailo and Spasić, Aleksandar", year = "2005", abstract = "Stability results for finite-dimensional linear nonautonomous time delay fractional differential systems are given in state space form. These problems have not yet been analyzed for this class of linear time-delay fractional order systems. Sufficient conditions for this kind of stability are derived by applying Bellman-Gronwall theorem. Therefore, one can check system stability over finite time interval, using simple example of SISO system.", publisher = "UK Scotland :Institution of Chemical Engineers", journal = "Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005, P18-22", title = "Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach", pages = "11-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_6750" }
Lazarević, M.,& Spasić, A.. (2005). Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach. in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005, P18-22 UK Scotland :Institution of Chemical Engineers., 1-11. https://hdl.handle.net/21.15107/rcub_machinery_6750
Lazarević M, Spasić A. Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach. in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005, P18-22. 2005;:1-11. https://hdl.handle.net/21.15107/rcub_machinery_6750 .
Lazarević, Mihailo, Spasić, Aleksandar, "Finite time stability analysis of linear nonautonomous fractional order systems with delayed state:Bellman-Gronwall approach" in Electronic proceedings 7th World Congress of Chemical Engineering, Glasgow,July 10-14 2005, P18-22 (2005):1-11, https://hdl.handle.net/21.15107/rcub_machinery_6750 .