講座主題:Exponential stabilization of reaction-diffusion systems via intermittent boundary control
主講人: 吳開寧
工作單位:哈爾濱工業大學(威海)
講座時間:2019年6月10日 下午2:30-3:10
講座地點:數學院大會議室341
主辦單位:煙臺大學數學與信息科學學院
內容摘要:
This talk considers the exponential stabilization for reaction-diffusion systems (RDSs) by means of intermittent boundary control. For the case where all system states are available, a state-dependent intermittent boundary controller is designed, and a sufficient condition ensuring the exponential stability of RDSs is presented by employing spatial integral functional method and Poincare's inequality. For the case where system states are not fully accessible, a boundary observer is proposed to estimate the system states, and an observer-based intermittent boundary controller is provided such that the considered system is exponentially stable. Furthermore, an observer-based intermittent boundary controller is designed for the robust exponential stability of uncertain RDSs. Simulation examples are presented to show the effectiveness and potential of our theoretical results.
主講人介紹:
吳 開寧,哈爾濱工業大學(威海)數學系副教授,博士生導師。主要研究方向為隨機微分方程數值方法,隨機系統理論以及耦合系統同步,目前已發表SCI論文20余篇。主持國家自然科學基金天元基金,以及山東省自然科學基金面上和青年基金、航天支撐技術基金等。