A survey on the stability of fractional differential equations: Dedicated to Prof. YS Chen on the Occasion of his 80th Birthday
CP Li, FR Zhang - The European Physical Journal Special Topics, 2011 - Springer
Recently, fractional calculus has attracted much attention since it plays an important role in
many fields of science and engineering. Especially, the study on stability of fractional …
many fields of science and engineering. Especially, the study on stability of fractional …
[HTML][HTML] LMI stability conditions for fractional order systems
After an overview of the results dedicated to stability analysis of systems described by
differential equations involving fractional derivatives, also denoted fractional order systems …
differential equations involving fractional derivatives, also denoted fractional order systems …
[PDF][PDF] Fractional Differentiation Inequalities
GA Anastassiou - 2009 - dspace.kottakkalfarookcollege.edu …
In 1991, although I had graduated in 1984, my great Ph. D. thesis advisor JHB Kemperman
recommended that I read the very interesting paper of J. Canavati [101], having to do with …
recommended that I read the very interesting paper of J. Canavati [101], having to do with …
Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order : The Case
JG Lu, YQ Chen - IEEE transactions on automatic control, 2009 - ieeexplore.ieee.org
This technical note firstly presents a sufficient and necessary condition for the robust
asymptotical stability of fractional-order interval systems with the fractional order α satisfying …
asymptotical stability of fractional-order interval systems with the fractional order α satisfying …
Robust stability and stabilization of fractional-order interval systems: an LMI approach
JG Lu, G Chen - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
This technical note presents necessary and sufficient conditions for the stability and
stabilization of fractional-order interval systems. The results are obtained in terms of linear …
stabilization of fractional-order interval systems. The results are obtained in terms of linear …
Fuzzy fractional order sliding mode controller for nonlinear systems
In this paper, an intelligent robust fractional surface sliding mode control for a nonlinear
system is studied. At first a sliding PD surface is designed and then, a fractional form of these …
system is studied. At first a sliding PD surface is designed and then, a fractional form of these …
Necessary and sufficient stability condition of fractional-order interval linear systems
This paper establishes a necessary and sufficient stability condition of fractional-order
interval linear systems. It is supposed that the system matrix A is an interval uncertain matrix …
interval linear systems. It is supposed that the system matrix A is an interval uncertain matrix …
Finite-time stability criteria for a class of fractional-order neural networks with delay
L Chen, C Liu, R Wu, Y He, Y Chai - Neural Computing and Applications, 2016 - Springer
Finite-time stabilities of a class of fractional-order neural networks delayed systems with
order α: α: 0< α ≤ 0.5 0< α≤ 0.5 and 0.5< α< 1 0.5< α< 1 are addressed in this paper …
order α: α: 0< α ≤ 0.5 0< α≤ 0.5 and 0.5< α< 1 0.5< α< 1 are addressed in this paper …
Non-fragile observer-based robust control for a class of fractional-order nonlinear systems
YH Lan, Y Zhou - Systems & Control Letters, 2013 - Elsevier
The paper is concerned with the problem of the observer-based robust control for a class of
fractional-order nonlinear systems. First, by introducing a continuous frequency distributed …
fractional-order nonlinear systems. First, by introducing a continuous frequency distributed …
Fractional order sliding mode control of a pneumatic position servo system
HP Ren, X Wang, JT Fan, O Kaynak - Journal of the Franklin Institute, 2019 - Elsevier
Gas flow has fractional order dynamics; therefore, it is reasonable to assume that the
pneumatic systems with a proportional valve to regulate gas flow have fractional order …
pneumatic systems with a proportional valve to regulate gas flow have fractional order …