State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay-Reference-Cited by-同舟云学术

State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay

Published:2023 Issue:2 Volume:8 Page:3185-3203
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Cao Yanghe¹,Zhao Junsheng¹,Sun Zongyao²

Affiliation:

1. School of Mathematical Science, Liaocheng University, Liaocheng 252059, China

2. Institute of Automation, Qufu Normal University, Qufu 273100, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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