Fractional order adaptive high-gain controllers for a class of linear systems

By Samir Ladaci, J. Loiseau, A. Charef. 2008

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Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems (2015, background): “Fractional Order PID controllers [5]; fractional high gain output feedback controllers [6,7] and Fractional Order Model Reference Adaptive Controllers (FOMRAC) [8–14], amongst others.”
Lyapunov functions for fractional order systems (2014, methodology): “Besides, sometimes fractional order controllers are used to control integer order systems, such as Fractional Order PID controllers [5]; high gain output feedback control schemes, where the feedback gain is estimated using a fractional differential equation [6,7]; Fractional Order Model Reference Ad”
Method of upper and lower solutions for fractional differential equations (2012, background): “Hence, some meaningful results on this kind of problems have been obtained, (see [5, 6, 7, 8, 9, 10, 11, 12, 13]).”