Abstract
The recently developed notion of “prescribed-time” stabilization considers regulation of the state to the origin in a prescribed time interval (specified by the control designer) irrespective of the initial state. While prior results on prescribed-time stabilization considered systems in a normal form structure (chain of integrators with uncertainties matched with the control input), we address here a general strict-feedback-like system structure with uncertain nonlinear functions throughout the system dynamics and develop a prescribed-time stabilizing controller based on our dynamic high gain scaling technique along with a novel temporal transformation and scaling dynamics with temporal forcing terms.
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