On finite-time stabilization of a class of nonlinear time-delay systems: Implicit Lyapunov-Razumikhin approach

Artem N. Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor B. Furtat
2020 2020 59th IEEE Conference on Decision and Control (CDC)  
Theorems on Implicit Lyapunov-Razumikhin functions (ILRF) for asymptotic, exponential, finite-time and nearly fixed-time stability analysis of nonlinear time-delay systems are presented. Based on these results, finite-time stabilization of a special class of such systems is addressed. These systems are represented by a chain of integrators with a timedelay term multiplied by a function of instantaneous state vector. Possible explicit restriction on nonlinear time-delay terms is discussed.
more » ... procedure of control parameters calculation is given in terms of linear matrix inequalities (LMIs). Some aspects of digital implementations of the presented nonlinear control law are touched upon. Theoretical results are illustrated by numerical simulations.
doi:10.1109/cdc42340.2020.9304421 fatcat:hms66esetzb4necpbgnkihuyp4