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] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

ISA TRANSACTIONS | 2025年 / 156卷

基金：

中国国家自然科学基金;

关键词：

It & ocirc; stochastic systems; Exact controllability; BSDEs; Multiplicative noise; Input delay; MULTIPLE DELAYS; OBSERVABILITY; EQUATIONS; STABILIZATION; NOISE;

D O I：

10.1016/j.isatra.2024.10.032

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the exact controllability of It & ocirc; 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.

引用

页码：282 / 289

页数：8

共 50 条

[31] Relative controllability of multi-agent systems with input delay and switching topologies
Si, Yuanchao
Wang, JinRong
SYSTEMS & CONTROL LETTERS, 2023, 171
[32] NOVEL CONDITIONS OF EUCLIDEAN SPACE CONTROLLABILITY FOR SINGULARLY PERTURBED SYSTEMS WITH INPUT DELAY
Glizer, Valery Y.
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2021, 11 (02): : 307 - 320
[33] Delay effects on the mean-square stabilization of stochastic systems with input delay
Sun, Xinxin
Li, Lin
Liu, Mengliang
Wang, Hongxia
Hou, Jialin
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (11) : 6463 - 6483
[34] Exact Controllability for a Refined Stochastic Plate Equation
Qi Lü
Yu Wang
Chinese Annals of Mathematics, Series B, 2025, 46 (3) : 415 - 442
[35] Approximate and Exact Controllability of Switched Infinite-Dimensional Linear Systems
Guan, Yacun
Yang, Hao
Jiang, Bin
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (10) : 5304 - 5317
[36] Exact controllability of stochastic differential equations with memory
Wang, Yanqing
Zhou, Xiuxiang
SYSTEMS & CONTROL LETTERS, 2020, 142
[37] Robust Stabilization of Uncertain Stochastic Systems with Delay in Control Input
Wang, Cheng
ADVANCED BUILDING MATERIALS AND STRUCTURAL ENGINEERING, 2012, 461 : 40 - 43
[38] Optimal Tracking Control and Stabilization for Stochastic Systems with Multi-step Input Delay
Han, Chunyan
Liu, Yue
2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 2185 - 2190
[39] Controllability of higher-order fractional damped stochastic systems with distributed delay
G. Arthi
K. Suganya
Yong-Ki Ma
Advances in Difference Equations, 2021
[40] The Input-to-State Stability in Probability for Constrained Delay Systems With Stochastic Delayed Impulses
Gao, Lijun
Liu, Zihan
Yang, Suo
IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2025, 22 : 9205 - 9217

← 1 2 3 4 5 →