Finite-time cluster synchronisation of complex networks with multi-weights and nonlinear couplings via semi-intermittent control
Li Cao, Wanli Zhang, Hui Nan Guo · International Journal of Systems Science · 2025
The present research investigates the finite-time cluster synchronisation of complex networks with multi-weights and nonlinear couplings, employing an intermittent control method. Considering the impact of discontinuous function on system stability, an improved stability lemma is demonstrated. On this basis, a new semi-intermittent controller based on hyperbolic tangent function is devised to facilitate synchronisation within a finite time. Furthermore, through the utilisation of the Filippov solution and Lyapunov functions with 1-norm, sufficient conditions are derived to ensure that each cluster attains finite-time synchronisation. Ultimately, simulation example is employed to validate the result.