CERAMATHS - DMATHS seminar: presentation by Ihab Haidar

The CÉRAMATHS mathematics department seminar will welcome Ihab Haidar (Quartz laboratory, ENSEA Paris) at 2pm on Thursday, November 13, 2025, for the following talk:

Lyapunov stability characterisation for uncertain infinite-dimensional systems

By this talk I will present some recent contributions in the domain of stability analysis for a class of infinite-dimensional nonlinear switched systems. The particular class of retarded functional differential equations will be also considered. Different stability notions like local, semi-global, asymptotic, and global exponential stability will be considered. These stability notions will be characterized through the existence of coercive and non-coercive Lyapunov functionals. The importance of the obtained results will be underlined through some applications concerning robustness of perturbed systems, stability of interconnected systems, input-to-state stability, and stability of sampled-data control systems.