Saeed Balochian and Mahsa Nazari
Fractional derivative, sliding mode control, Lyapunov stability
This paper presents the stability of a particular class of fractional differential inclusion system with the input time delay via sliding mode control. The proposed sliding surface includes an integral fractional order and real parametric uncertainties for controlling input in this system. The Lyapunov-based approach is utilized for the stability of sliding surface in suitable conditions. A numerical simulation is employed to verify the effectiveness of the proposed design.
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