@article{Dai2025, 
author = {Mengyuan Dai and Chunyan Zhang and Yingli Zhang and Lichao Feng},
title = {Note on adaptive prescribed-time stabilization of nonlinear systems with uncertainty},
year = {2025},
journal = {Networks and Heterogeneous Media},
volume = {20},
number = {3},
pages = {798-817},
keywords = {prescribed-time stabilization, uncertain systems, output feedback control},
url = {https://www.sciopen.com/article/10.3934/nhm.2025034},
doi = {10.3934/nhm.2025034},
abstract = {Krishnamurthy et al. investigated the adaptive output feedback control for prescribed-time stability (PTS) of nonlinear uncertain systems on    [  0  ,  T  ), where    T  >  0. However, there are special constraints on system structure, and the PTS issue is considered on a finite interval    [  0  ,  T  ). For systems without required constraints, the existing adaptive output feedback control seems not to be applicable; the PTS issue on    [  0  ,  ∞  ) is more practical than that on    [  0  ,  T  ). Motivated by the above, an improved observer and controller were proposed to achieve PTS for nonlinearly uncertain systems with lower-triangular linear growth condition on uncertainties. Compared with the existing work, we emphasized the subsequent contributions: 1) Relax the original structure constraint of objective system; 2) achieve PTS on    [  T  ,  ∞  ); and 3) keep the proposed controller bounded. The effectiveness of the controller was verified by numerical simulations across varying initial conditions and prescribed times.}
}