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Prescribed-time (PT) control, originated from \textit{Song et al.}, hasgained increasing attention among control community. The salient feature of PTcontrol lies in its ability to achieve system stability within a finitesettling time user-assignable in advance irrespective of initial conditions. Itis such a unique feature that has enticed many follow-up studies on thistechnically important area, motivating numerous research advancements. In thisarticle, we provide a comprehensive survey on the recent developments in PTcontrol. Through a concise introduction to the concept of PT control, and aunique taxonomy covering: 1) from robust PT control to adaptive PT control; 2)from PT control for single-input-single-output (SISO) systems tomulti-input-multi-output (MIMO) systems; and 3) from PT control for singlesystems to multi-agent systems, we present an accessible review of thisinteresting topic. We highlight key techniques, fundamental assumptions adoptedin various developments as well as some new design ideas. We also discussseveral possibles future research directions towards PT control.

Prescribed-Time Control and Its Latest Developments