@article{Cao2023, 
author = {Yanghe Cao and Junsheng Zhao and Zongyao Sun},
title = {State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {3185-3203},
keywords = {state feedback, homogeneous domination approach, high-order and low-order, stochastic nonlinear systems with time-delay},
url = {https://www.sciopen.com/article/10.3934/math.2023163},
doi = {10.3934/math.2023163},
abstract = {This manuscript considers the state feedback stabilization problem for a class of stochastic high-order and low-order nonlinear systems with time-delay. Compared with the previous results, a distinctive feature to be studied is that the considered systems involve high-order, low-order, intricate stochastic diffusion terms and time-delay simultaneously. First, the homogeneous domination approach and suitable coordinate transformations are introduced to obtain the updating laws. Then, a state feedback controller is devised to make the closed-loop systems globally asymptotically stable in probability. Finally, a simulation example is shown to prove the proposed approach powerfully.}
}