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On finite-time stabilization of a class of nonlinear time-delay systems: Implicit Lyapunov-Razumikhin approach
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.
doi:10.1109/cdc42340.2020.9304421
fatcat:hms66esetzb4necpbgnkihuyp4