報告題目: Positivity of infinite-dimensional linear systems

報告人: Yassine El Gantouh

報告時間: 2024年11月6日下午14:30-15:30

報告地點: kaiyun開云官方網(wǎng)站犀浦校區(qū)X30411

摘要: In many PDEs models some constraints need to be imposed when considering concrete applications. This is for instance the case of evolutionary systems (such as heat conduction, transportation networks, population dynamic, etc.) where realistic models must incorporate the consideration that the state should adhere to some positivity constraints to ensure their physical relevance. In this talk, we discuss the concept of well-posed and regular linear systems, in a Banach lattice setting, with a particular aim to explore new techniques and new questions for positive infinite-dimensional linear systems. We describe the structural properties of admissible control/observation operators. Then, we present criteria for well-posedness, positivity and stability of infinite-dimensional linear systems with unbounded input and output operators.

報告人簡介: Yassine El Gantouh holds a postdoctoral position at Zhejiang Normal University the supervision of Prof. Y. Liu. Before that, he was a postdoctoral researcher at the ERC Advanced Grant project DyCon at Universidad Autónoma de Madrid under the supervision of Prof. E. Zuazua. He received the MSc in Applied Mathematics from the University of Agadir, Morocco, in November 2017 and the PhD in Control Theory from the University of Agadir, Morocco, in February 2021. He was a member of the European COST Action MAT-DYN-NET WG1. His research interests include control theory of distributed parameter systems, partial differential and differential-difference equations, and control problems for differential equations on graphs.