Finite/fixed-time event-triggered aperiodic intermittent control for nonlinear systems

In this paper, some new event-triggered aperiodic intermittent control methods are proposed to stabilize nonlinear systems in finite-time (FT) and fixed-time (FXT). Firstly, two event-triggered aperiodic intermittent control schemes are designed for general nonlinear dynamical systems by employing a class of auxiliary functions. Under the proposed control schemes and using Lyapunov stability theory, some FT stabilization criteria are obtained. Secondly, to stabilize nonlinear dynamical systems in FXT, some improved event-triggered aperiodic intermittent control strategies are given and the corresponding stabilization criteria are also obtained. Moreover, as an application of these strategies, the consensus of nonlinear multi-agent systems (MASs) is investigated via designing node-based and edge-based event-triggered aperiodic intermittent control protocols, and some FXT consensus conditions are derived. Finally, the theoretical results are verified by two examples.