no code implementations • 23 Jan 2024 • Hassan Abdelraouf, Eric Feron, Jeff S. Shamma
We introduce a new class of quadratic functions based on a hierarchy of linear time-varying (LTV) dynamical systems.
no code implementations • 1 Mar 2022 • Hassan Abdelraouf, Gidado-Yisa Immanuel, Eric Feron
Instead, a more general class of homogeneous Lyapunov functions is used to get less conservative upper bounds on the $L_{\infty}$-induced norm and better conservative approximations for the reachable sets than those obtained using standard quadratic Lyapunov functions.
no code implementations • 21 Sep 2021 • Hassan Abdelraouf, Fahad Albalawi, Eric Feron
At first, we characterize the stability region of LTI systems given only a single trajectory dataset by constructing the associated Lyapunov function of the system.
