Observer-based prescribed-time synchronization and topology identification for complex networks of piecewise-smooth systems with hybrid impulses

This paper is concerned with the observer-based prescribed-time synchronization and topology identification issue for complex networks of nonlinear impulsive piecewise-smooth systems (IPWSs), where the stabilizing and destabilizing impulses are considered simultaneously. A prescribed-time convergence principle is developed for nonlinear IPWSs on the basis of a power exponent function. A controller with time-varying feedback gains and a topology observer are designed to realize the prescribed-time synchronization and identification objective. By applying the Lyapunov stability theory and non-smooth analysis approach, the prescribed-time synchronization conditions are addressed, and the unknown topology is identified successfully through the topology observer. Finally, a simulation example is presented to show the effectiveness of the proposed strategy and the validity of the theoretical results.