Deterministic and Stochastic Fixed-Time Stability of Discrete-time Autonomous Systems

This paper studies deterministic and stochastic fixed-time stability of autonomous nonlinear discrete-time (DT) systems. Lyapunov conditions are first presented under which the DT systems is certified. Extensions to perturbations as well noise then considered. For former, sensitivity for stable analyzed, it shown that attractiveness results from conditions. latter, sufficient in probability presented. The fixed upper bound settling-time function derived both attractive systems, a Illustrative examples given along with simulation verify introduced results.