Switching Fuzzy Sliding Mode Control of BipartiteSynchronization in Signed Lure Networks under Quantized ´and Pinning Control

This study explores bipartite synchronization in signed Lur’e networks through a fuzzy sliding mode control framework enhanced with switching logic, quantization, and pinning mechanisms. The network topology is considered structurally balanced, encompassing both cooperative and antagonistic interactions among nodes. To model nonlinearities effectively, a Takagi–Sugeno fuzzy approach is employed, and a set of switching surfaces is constructed to mitigate the effects of uncertainty and quantized signals. Conditions ensuring synchronization in both leaderless and leader-following configurations are established using Lyapunov-based analysis and linear matrix inequality formulations. Simulation results confirm the capability of the proposed method, offering notable improvements in stability and convergence when compared to traditional strategies. Mathematics Subject Classification (2020) MSC code1 · MSC code2 · more