DIFFERENTIAL EQUATION SEMINAR
Department of Mathematics
University of Rome Tor Vergata

Date: Tuesday,  31st May 2022
Time: 16:00-17:00  (Time in Rome, Italy)
Where: Aula Dal Passo  (+ Streaming via Microsoft Teams, see link below)

Speaker: Anna Chiara Lai (Sapienza, Università di Roma)

Title:  Converse Lyapunov theorems and optimal stabilizability for unbounded control systems.

Abstract: We review some recent results on the stabilizability of a wide class of control systems with unbounded inputs, including those with a polynomial dependence on the controls.
We present an extension to these unbounded control systems of the well-known relations between the global asymptotic controllability, the sample stabilizability, and the existence of a control Lyapunov function.  The results are based on a reparameterization technique commonly adopted in optimal impulsive control, and in particular, on showing that the unbounded setting can be equivalently recasted in terms of a related, extended control problem with bounded controls.  
Finally, we briefly discuss an integral cost associated to the control system and we establish sufficient conditions for the sample stabilizability of the system with regulated cost.
This talk is based on a joint work with Monica Motta, Università di Padova.


Note: This talk is part of the activity of the MIUR Department of Excellence Project MATH@TOV CUP E83C18000100006

MS Teams Link:
https://teams.microsoft.com/l/meetup-join/19%3a7f273a2aff1145dfae91372d186b1cd9%40thread.tacv2/1653403302031?context=%7b%22Tid%22%3a%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22%2c%22Oid%22%3a%22d37d6fea-2e4d-4c35-88e4-99bf4cf68fe9%22%7d
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