Abstract
Distributed-order calculus can be understood as a further generalisation of integer- and fractional-order calculus. Such a general case allows the modelling and understanding of a more extensive engineering and physical systems class. This paper proposes a controller design that enforces the predefined-time convergence of the solution of a distributed-order dynamical system. Besides, a predefined-time sliding mode design for a general class of uncertain distributed-order dynamical system is proposed. A numerical study is presented to show the reliability of the proposed scheme.
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