A general theory of norm and time optimal control problems for linear PDE systems
报告人：Marius Tucsnak
报告地点：Zoom会议ID: 89091970813 密码: 726640
报告时间：2024年10月27日星期日14:00-15:00
邀请人：林萍
报告摘要：
Abstract: We discuss time and optimal control problems for abstract infinite dimensional well-posed control systems, in the case of a point target.
The main contributions are:
a. Extending the adjoints of null controllable systems to larger state spaces in which these adjoint systems become exactly observable ones;
Obtaining maximal principle type results for systems which are not necessarily exactly controllable;
Providing abstract bang-bang results in a fully $L^\infty$ setting (with respect to both space and time variables).
Moreover, as applications, we obtain new results for systems described the heat or by the Kirchhoff plate equation.
主讲人简介：
Marius Tucsnak, chair professor at University of Bordeaux France. His main research interests are control of systems governed by partial differential equations (such as the parabolic, hyperbolic, Schrödinger or nonlinear plate equations) and the analysis and control of fluid-structure interactions. He published around 80 papers in internationally referred journals, including Archive for Rational Mechanics and Analysis, Journal of the European Mathematical Society, Transactions of the American Mathematical Society, Journal of Differential Equations, SIAM Journal on Control or Automatica. He has been currently corresponding editor for ESAIM COCV and associated editor for SIAM Journal on Control, MCSS, MCRF, JMFM. He is invited to be a 45 minutes speaker by 2022 International congress of mathematicians in Russian.
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