講座主題：Boundary control of stochastic reaction-diffusion systems with Markovian switching
專家姓名：吳開寧
工作單位：哈爾濱工業(yè)大學(xué)（威海）
講座時間：2021年12月22日 20:10-20:50
講座地點(diǎn)：騰訊會議，會議ID：695 628 515
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
This article focuses on the boundary control of stochastic Markovian reaction-diffusion systems (SMRDSs). Both the cases of completely known and partially unknown transition probabilities are considered. By using the Lyapunov functional method, a sufficient condition is obtained under the designed boundary controllers to guarantee the asymptotic mean square stability for SMRDSs with completely known transition probabilities. For the case of partially unknown transition probabilities, we introduce free-connection weighting matrices to handle the boundary control problem. When external disturbance enters the system, a sufficient criterion of H-infinity boundary control is developed. Furthermore, the robust stabilization is investigated for parametric uncertain SMRDSs in both cases. Two examples are presented to demonstrate the efficiency of the proposed approaches.
主講人介紹：
吳開寧，哈爾濱工業(yè)大學(xué)（威海）數(shù)學(xué)系副教授，博士生導(dǎo)師。黑龍江省工業(yè)與應(yīng)用數(shù)學(xué)會副秘書，中國系統(tǒng)與仿真學(xué)會仿真算法委員會委員。研究興趣包括隨機(jī)系統(tǒng)理論、偏微分系統(tǒng)邊界控制以及微分方程數(shù)值方法。近年來發(fā)表SCI論文40余篇，承擔(dān)科研基金項(xiàng)目10余項(xiàng)。2010-2011臺灣清華大學(xué)電機(jī)系博士后，2016-2017年澳大利亞阿德萊德大學(xué)電子電器工程系訪問學(xué)者。
