[NOVA Math] Analysis Seminar

The Center of Mathematics and Applications (NOVA Math) promotes the Seminar of Analysis with the title: "Stabilization of linear and semilinear parabolic equations". Sérgio S. Rodrigues (Center for Mathematics and Applications (NOVA Math) and Department of Mathematics, NOVA School of Science and Technology (NOVA FCT)) is the speaker.

Abstract: A crucial task  in control applications is the design of a feedback operator allowing us to compute a control input which is able to stabilize a given dynamical system, being able to respond to small perturbations as well. Feedback inputs are given as a function of the state of the system, which is often not fully available in real world applications. Thus, another crucial task is the design of a dynamic Luenberger observer providing us with an estimate for the unknown state, by using the output of sensor measurements; here, the task is to find an operator that injects the output into the dynamics of the observer. In this talk, we discuss recent developments on the design of such feedback-input  and output-injection operators for models given by parabolic-like equations. The focus is put on the design of simple and explicit operators. Both theoretical and numerical aspects are discussed, including a comparison to more classical operators obtained through optimal control tools and involving the solution of Riccati or Hamilton-Jacobi-Bellman equations.

26 February 2026 (Thursday), from 15:00 to 16:00, new location Room 202, Building IV.