講座主題：Generalized solution and ISS stability of PDE-ODE system with discontinuous control
專家姓名：王軍民
工作單位：北京理工大學(xué)
講座時(shí)間：2021年10月15日 19:00-20:00
講座地點(diǎn)：騰訊會(huì)議,，會(huì)議ID：953 199 320,，會(huì)議密碼：666666
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)院
內(nèi)容摘要：
It is known that an ODE equation has a unique local solution if the right side function has the Lipschitz continuity. However, for a control system, the control input is usually discontinuous. The new concept of Filippov solution is introduced to overcome the mathematical obstructions of the discontinuous ODE in 1990's, and a generalized solution is developed by Levaggi in 2002 to treat for a PDE system with discontinuous input.
In this talk, we discuss the generalized solution and ISS stability for a PDE-ODE cascaded system with disturbances appearing in all channels subject to discontinuous boundary controller. Firstly, we extend the definition of Filippov solution of ODE with discontinuous right hand to PDE subject to discontinuous boundary controller. Secondly, we take an ODE cascaded with a reaction- diffusion equation as an example to illustrate the solution of PDE-ODE cascaded system with discontinuous boundary controller. Finally, based on the Lyapunov method, the input-to-state stability of an ODE cascaded with a reaction-diffusion equation subject to discontinuous boundary controller is achieved.
主講人介紹：
王軍民，北京理工大學(xué)教授、博導(dǎo),。研究領(lǐng)域：控制理論與應(yīng)用,。2004年在香港大學(xué)獲博士學(xué)位,，2009年為北京理工大學(xué)教授,。主持國(guó)家自然科學(xué)基金5項(xiàng)，自然科學(xué)重點(diǎn)基金子課題1項(xiàng),，發(fā)表學(xué)術(shù)期刊論文100多篇,，撰寫專著2部,。2007年入選教育部新世紀(jì)優(yōu)秀人才、2012年獲北京市科學(xué)技術(shù)二等獎(jiǎng),、2019年獲教育部自然科學(xué)二等獎(jiǎng),、《Control Theory and Technology》期刊副主編。
