Stochastic Intermittent Control with Uncertainty

Autor: Zhengqi Ma, Hongyin Jiang, Chun Li, Defei Zhang, Xiaoyou Liu
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 13, p 1947 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12131947
Popis: 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 (θ*,1). Some numerical examples are provided at the end to validate the correctness of our theoretical results.
Databáze: Directory of Open Access Journals
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