Finite-time stabilization of stochastic systems with varying parameters

被引：0
|
作者：
Kallel, Wajdi [1 ]
Allugmani, Noura [2 ]
机构：
[1] Umm Al Qura Univ, Fac Appl Sci, Math Dept, Mecca, Saudi Arabia
[2] Univ Jeddah, Coll Sci & Arts Alkamil, Math Dept, Jeddah, Saudi Arabia
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 08期
关键词：
homogeneous system; Lyapunov function; finite time stability; stochastic systems; stabilization; LYAPUNOV FUNCTION; STABILITY; OPERATORS;
D O I：
10.3934/math.2023903
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This research deals with the stabilization of the stochastic nonlinear systems. In order to achieve the asymptotic stability in probability with respect to unknown bounded disturbances, a control Lyapunov function is applied to present a modified Sontag's homogeneous controller. The obtained results reveal that the presented control achieves the desirable robust asymptotic stability in probability. The finite-time stability in probability for stochastic nonlinear systems is also discussed in this manuscript. Simulation examples are provided to demonstrate the effectiveness of the controllers.
引用
收藏
页码：17687 / 17701
页数：15
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