講座主題：Stability analysis for dynamic systems with semi-Markov switching
主講人： 吳小太
工作單位：安徽工程大學
活動時間：2021年6月9日 20:30--21:10
講座地點：騰訊會議 會議ID：542 986 162
主辦單位：煙臺大學數(shù)學與信息科學學院
內(nèi)容摘要：
This report is concerned with the problem of exponential stability for semi-Markov jump stochastic nonlinear systems. It is well known that the semi-Markov chain is an extension of the Markov chain, whose sojourn time distribution depends on the current and next state, and is no longer limited to the exponential distribution. However, in existing works, the independence and the distribution function limitation are imposed on the sojourn time of semi-Markov jump systems. In this paper, by developing a new stochastic analysis method, the problem of exponential stability is investigated for semi-Markov jump stochastic nonlinear systems without additional constraints for the sojourn time. In addition, mode-dependent linear comparable relationships are assumed among Lyapunov like functions, which can effectively reduce the conservatism caused by mode-independent case. Two examples are presented to demonstrate the effectiveness of the proposed results.
主講人介紹：
吳小太，博士，安徽工程大學教授，碩士生導師，安徽省“皖江學者”特聘教授、安徽省杰出青年基金獲得者、安徽省高校拔尖人才、安徽省學科帶頭人后備人選、安徽省教壇新秀。2012年畢于東華大學控制理論與控制工程專業(yè)，獲工學博士學位，現(xiàn)為中國指揮與控制學會智能控制與系統(tǒng)專業(yè)委員會委員、中國自動化學會控制理論專業(yè)委員會隨機系統(tǒng)控制學組委員、安徽省數(shù)學會理事。主持3項國家自然科學基金項目以及多項安徽省省級基金項目；研究成果獲2020年安徽省自然科學二等獎(第一完成人)。
