On exact controllability of Itô stochastic systems with input delay

被引：0
|
作者：
Wang, Wenjing [1 ]
Wang, Wei [1 ]
Xu, Juanjuan [1 ]
机构：
[1] School of Control Science and Engineering, Shandong University, Jinan, Shandong,250061, China
来源：
ISA Transactions | 2025年 / 156卷
基金：
中国国家自然科学基金;
关键词：
Adaptive control systems - Delay control systems - Differential equations - Stochastic control systems - Stochastic systems;
D O I：
10.1016/j.isatra.2024.10.032
中图分类号：
学科分类号：
摘要：
This paper considers the exact controllability of Itô stochastic systems with input delay. In particular, one delay-free controller and one delayed controller are involved in the systems which complicates the study due to the inconsistency of adaptiveness caused by input delay. The main contribution of this paper is to provide the necessary and sufficient Gramian matrix condition and the necessary Rank condition for the exact controllability. The key is to solve the backward stochastic differential equations (BSDEs) with input delay. © 2024 International Society of Automation
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页码：282 / 289
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