New approach to finite-time stability and stabilization of linear discrete time-varying stochastic systems——張維海 教授

時間:2019-11-19瀏覽:103

報告題目:New approach to finite-time stability and stabilization  of linear discrete time-varying stochastic systems

報 告 人:張維海,山東科技大學教授

報告時間2019.11.25(周一)830-930

報告地點:數學學院A302

報告摘要

This report introduces the so-called state transition matrix method” to study the finite-time stability and stabilization of linear discrete time-varying stochastic systems with multiplicative noise. Firstly, state transition matrices of discrete time-varying stochastic systems are defined and derived in iterative forms. Secondly, necessary and sufficient conditions for the finite-time stability are presented via the state transition matrix approach. Thirdly, we also develops the Lyapunov function method to study the finite-time stability and stabilization based on matrix inequalities and linear matrix inequalities (LMIs) so as to Matlab LMI Toolbox can be used. Finally, numerical examples are given to illustrate the effectiveness of the proposed results.

報告人簡介:

山東科技大學電氣與自動化工程學院二級教授、博導,控制理論研究所所長,山東省“泰山學者”特聘教授。山東科技大學學術委員會和學位委員會委員。主要研究領域為隨機控制、魯棒控制。主持和承擔省部級以上項目10多項。發表SCI 期刊論文120余篇,SCI引用4000余次。出版英文專著1部。以首位完成人獲教育部自然科學二等獎2項和山東省自然科學二等獎1項、山東省高等學校優秀科研成果獎一等獎2項。作為指導教師獲得山東省優秀博士學位論文3篇,山東省優秀研究生科技創新成果一等獎1項。當選山東省有突出貢獻的中青年專家和青島市拔尖人才。目前是中國自動化學會控制理論專業委員會委員,IEEE 高級會員。


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