Global Prescribed-Time Stabilization of a Class of Uncertain Linear Systems with Applications to Aerospace Systems

This article studies the prescribed-time stabilization problem of a class of uncertain linear systems. With the aid of some properties of a class of parametric Lyapunov equations and time-varying Lyapunov-like functions, time-varying linear smooth observer-based output feedback controllers are designed to achieve the prescribed-time stabilization. The studied uncertain linear systems can include part of the linear parameter varying systems and the semi-Markovian jump linear systems. As an application, some control problems of aircraft systems have been addressed. The efficacy of the proposed approaches is confirmed through numerical simulations.