Mean-Square Stability of Uncertain Delayed Stochastic Systems Driven by G-Brownian Motion

被引：22

作者：

Ma, Zhengqi ^{[1
,2
]}

Yuan, Shoucheng ^{[1
]}

Meng, Kexin ^{[3
]}

Mei, Shuli ^{[3
]}

机构：

[1] Puer Univ, Sch Math & Stat, Puer 665000, Peoples R China

[2] Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Peoples R China

[3] China Agr Univ, Coll Informat & Elect Engn, Beijing 100083, Peoples R China

来源：

MATHEMATICS | 2023年 / 11卷 / 10期

基金：

中国国家自然科学基金;

关键词：

mean-square stability; stochastic system; G-Brownian motion; Lyapunov-Krasovskii function; linear matrix inequality (LMI); H-INFINITY CONTROL; ROBUST STABILITY; EXPONENTIAL STABILITY; EQUATIONS DRIVEN; STABILIZATION;

D O I：

10.3390/math11102405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the mean-square stability of uncertain time-delay stochastic systems driven by G-Brownian motion, which are commonly referred to as G-SDDEs. To derive a new set of sufficient stability conditions, we employ the linear matrix inequality (LMI) method and construct a Lyapunov-Krasovskii function under the constraint of uncertainty bounds. The resulting sufficient condition does not require any specific assumptions on the G-function, making it more practical. Additionally, we provide numerical examples to demonstrate the validity and effectiveness of the proposed approach.

引用

页数：16

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