Topology Identification for Networked Piecewise-smooth Systems With Multiple Weight Couplings Based a Novel Fixed-time Synchronization Approach

This article investigates the identification and fixed-time synchronization (FxTs) for a complex network with piecewise-smooth(PWS) nonlinear functions and multiple weight couplings. Firstly, a new fixed-time stability principle is constructed based a time-varying fixed-time inequality. And a novel time-varying semi-intermittent controller is designed whose time-varying gains remains positive and bounded when averaged over a specific time period. Secondly, the fixed-time synchronization is realized by the designed controller based on non-smooth analysis and the Lyapunov stability theorem. In addition, the uncertain topology is identified successfully via the proposed topology observer. Finally, the Chua’s circuit, as a simulation example, is provided to check the validity of the theoretical results and the effectiveness of proposed control method.