no code implementations • 14 Jan 2024 • Pengfei Wang, Emilia Fridman
To compensate the output delay that appears in the infinite-dimensional part of the closed-loop system, for the first time for delayed PDEs we suggest a vector Lyapunov functional combined with the recently introduced vector Halanay inequality.
no code implementations • 14 Oct 2023 • Xuefei Yang, Emilia Fridman
Given large delays, we choose appropriate gains to guarantee stability of this linear system.
no code implementations • 3 Feb 2023 • Xuefei Yang, Emilia Fridman
As in the recently introduced (for 2D maps in the continuous domain), we transform the system to the time-delay one (neutral type system in the form of Hale in the continuous case).