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 …

[HTML][HTML] LMI stability conditions for fractional order systems

J Sabatier, M Moze, C Farges - Computers & Mathematics with Applications, 2010 - Elsevier
After an overview of the results dedicated to stability analysis of systems described by
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 …

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 …

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 …

Fuzzy fractional order sliding mode controller for nonlinear systems

H Delavari, R Ghaderi, A Ranjbar, S Momani - … in Nonlinear Science and …, 2010 - Elsevier
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 …

Necessary and sufficient stability condition of fractional-order interval linear systems

HS Ahn, YQ Chen - Automatica, 2008 - Elsevier
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 …

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 …

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 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 …