@inproceedings{81e6ae6b7dce4bb695e6e41a4ed91f53,
title = "H∞ Control of Linear Stochastic Reaction-Diffusion System with Markovian Switching",
abstract = "In this paper, we consider the stabilization and H∞ control for stochastic Markovian reaction-diffusion system (SM-RDS). First, by virtue of the Lyapunov functional method, M-matrix theory and stochastic analysis techniques, sufficient conditions are obtained to ensure the mean square asymptotical stability under a given controller. In addition, when non-Gaussian additive noises enter in the considered systems, sufficient conditions are given to make the system achieve H∞ performance in the mean square under a given controller. At last, numerical examples are carried out to show the effectiveness of our theoretical results.",
keywords = "Control, Markovian switching, Mean square asymptotical stability, Stochastic reaction-diffusion system",
author = "Zhang, \{Long Xiang\} and Wu, \{Kai Ning\}",
note = "Publisher Copyright: {\textcopyright} 2018 Technical Committee on Control Theory, Chinese Association of Automation.; 37th Chinese Control Conference, CCC 2018 ; Conference date: 25-07-2018 Through 27-07-2018",
year = "2018",
month = oct,
day = "5",
doi = "10.23919/ChiCC.2018.8483737",
language = "英语",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "1457--1462",
editor = "Xin Chen and Qianchuan Zhao",
booktitle = "Proceedings of the 37th Chinese Control Conference, CCC 2018",
address = "美国",
}