International audienceThe paper presents control algorithms for systems with input delay. There are two main results based on using Implicit Lyapunov Function (ILF) technique: 1) an LMI-based approach is presented to evaluate the domain of attraction of a finite-time stable control in the case of the arbitrary bounded delayed control input; 2) a uniting control is designed with commutation between two laws providing a global boundedness of all trajectories of systems with any input delay, and convergence to the origin for a sufficiently small one. The results are also preserved for the time-varying delay case. The theoretical results are supported by numerical examples
