Today: Geometric Structures seminar - Michele Motta - Tuesday February 6th, 2024 , 14:00 (Rome time) - room 133 at SISSA (and online)

[Samuel Borza]

Dear All,

This is to remind you of today's seminar from the series "Geometric Structures".

Speaker: Michele Motta (SISSA)

Title: Lyapunov exponents of linear switched systems
Time: Tuesday February 6th, 2024 , 14:00 (Rome time)
Venue: room 133 - SISSA main building and online
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Meeting ID: 856 7559 1787
Password: geometry

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Abstract:
In applications, there are many systems whose dynamics can be influenced by discrete events. For instance, a power switch turned on and off, a thermostat turning the heat on and off, a car running on a street with some ice here and there. Such systems are called switched systems.

As for classical dynamical systems, stability for this class of systems is a very important issue. A natural way to measure the stability is to use Lyapunov exponents. In this talk, I will show how to compute exact Lyapunov exponents for a simple class of switched systems. This problem can be reduced to an Optimal Control Problem. Applying Pontryagin Maximum Principle, one can find all extremals for this problem and then choose among them the optimal one. This is a joint work with Prof. A. A. Agrachev.
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More information can be found here: https://sites.google.com/view/geometric-structures/

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Samuël Borza