Stabilization for Discrete-Time Stochastic Systems with Multiple Input Delays  

作　　者：LI Lin ZHANG Huanshui 

机构地区：[1]College of Mechanical and Electronic Engineering,Shandong Agricultural University,Taian 271018,China [2]School of Information Science and Engineering,Shandong Agricultural University,Taian 271018,China [3]College of Electrical Engineering and Automation,Shandong University of Science and Technology,Qingdao 266590,China

出　　处：《Journal of Systems Science & Complexity》2023年第5期1961-1980,共20页系统科学与复杂性学报（英文版）

基　　金：supported by Shandong Provincial Natural Science Foundation of China under Grant Nos.ZR2022MF239 and ZR2021MA002。

摘　　要：A stabilization problem for stochastic systems with multiple input delays is investigated herein.A new method to construct an optimal control problem with input constraints is adopted.A sufficient stabilization condition is established via Riccati-type equations,whose verification is computationally simple because the variable dimension of the equations does not increase with regard to the delay.A stabilization controller is proposed,and it is a feedback of the state and a history input.This controller uses less history information than those with distributed terms.Two numerical examples illustrate the effectiveness of the obtained results.

关 键 词：Riccati-type equations STABILIZATION stochastic systems time-delay systems 

分 类 号：O211.6[理学—概率论与数理统计] O231[理学—数学]