Fractional Order Universal Adaptive Stabilization
نویسندگان
چکیده
In this paper, we study the asymptotic stability of three fractional scalar systems by using the method of universal adaptive stabilization: (I) Fractional dynamics with integer-order control strategy, (II) Fractional dynamics with fractional control strategy, and (III) Application of fractional viscoelastic and electromagnetic theories in universal adaptive stabilization. It is shown that the control inputs for these three cases are bounded. Then we show that Mittag-Leffler function Eα(−λt) for α ∈ (2, 3] and λ > 0 is a Nussbaum function. Finally, several Illustrated simulation results are provided as a proof of concept.
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