Harmonic Analysis and Differential Equations Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld Hall 145
- Date
- Nov 12, 2024 1:00 pm
- Speaker
- Vadim Zharnitsky
- Contact
- Carrie Clark and Olivia Clifton
- carriec2@illinois.edu and ocannon2@illinois.edu
- Views
- 85
- Originating Calendar
- Harmonic Analysis and Differential Equations Seminar (HADES)
- Title: Asymptotic stability of linear systems with restricted connectivityAbstract: We consider the question of whether a given network topology can support an asymptotically stable equilibrium in linear systems (both discrete and continuous). These problems are motivated by applications in the theory of decentralized networked systems.
A theory of such systems was developed by M.-A. Belabbas about 10 years ago. I will describe the main results of his theory and then describe our ongoing work on the switching (nonautonomous) version of this problem. If there is time, I will discuss some extensions to nonlinear problems. This is joint work with Belabbas, Liberzon (both ECE), and Bivziuk (MATH).Lunch: Before the talk at 12pm at Shawarma Joint