Stochastic Intermittent Control with Uncertainty

被引：1

作者：

Ma, Zhengqi ^{[1
]}

Jiang, Hongyin ^{[2
]}

Li, Chun ^{[1
]}

Zhang, Defei ^{[1
]}

Liu, Xiaoyou ^{[3
]}

机构：

[1] Honghe Univ, Sch Math & Stat, Mengzi 661100, Peoples R China

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

[3] Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Peoples R China

来源：

MATHEMATICS | 2024年 / 12卷 / 13期

关键词：

coefficient uncertainty; lyapunov-krasovskii function; LMI; DIFFERENTIAL-EQUATIONS DRIVEN; G-BROWNIAN MOTION; STABILIZATION; SYSTEMS; STABILITY; CALCULUS;

D O I：

10.3390/math12131947

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we delve into the exponential stability of uncertainty systems characterized by stochastic differential equations driven by G-Brownian motion, where coefficient uncertainty exists. To stabilize the system when it is unstable, we consider incorporating a delayed stochastic term. By employing linear matrix inequalities (LMI) and Lyapunov-Krasovskii functions, we derive a sufficient condition for stabilization. Our findings demonstrate that an unstable system can be stabilized with a control interval within (theta*,1). Some numerical examples are provided at the end to validate the correctness of our theoretical results.

引用

页数：15

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