Innovative fractional derivative estimation of the pseudo-state for a class of fractional order linear systems

Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

Igor Podlubný · IEEE Transactions on Automatic Control · 1999 · 3.1K citations

Natural Sciences, Systems Engineering, Differential Equations +16

A First Course in Numerical Analysis

Herbert Maisel, Anthony Ralston · Technometrics · 1966 · 2.5K citations

Natural Sciences, Mathematics, Physics +14

How to impose physically coherent initial conditions to a fractional system?

Jocelyn Sabatier, Mathieu Merveillaut, Rachid Malti et al. · Communications in Nonlinear Science and Numerical Simulation · 2009 · 189 citations

Natural Sciences, Mathematics, Physics +10

Fractional systems state space description: some wrong ideas and proposed solutions

Jocelyn Sabatier, Christophe Farges, Jean‐Claude Trigeassou · Journal of Vibration and Control · 2013 · 163 citations

Engineering, Mathematics, Physics +9

Fractional-order exponential switching technique to enhance sliding mode control

Chun Yin, Xuegang Huang, YangQuan Chen et al. · Applied Mathematical Modelling · 2017 · 144 citations

Natural Sciences, Electrical Engineering, Dynamical Systems +7