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.

中文翻译：

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分布式系统的预定义时间控制

分布式微积分可以理解为整数和分数阶微积分的进一步概括。这种一般情况允许对更广泛的工程和物理系统类别进行建模和理解。本文提出了一种控制器设计，该设计可强制执行分布式系统动力学系统解决方案的预定义时间收敛。此外，提出了针对一类不确定的分布式动力学系统的预定义时间滑模设计方法。数值研究表明该方案的可靠性。