| Complex networks are large-scale networks composed of numerous nodes and connected edge structures,which are topological abstractions of a large number of real complex systems.The research of complex networks has strong interdisciplinary nature and involves extensive comprehensive theoretical knowledge,and is an important branch of complexity science.The dynamical behavior of synchronization control is analyzed utilizing the memory and genetic properties of fractional-order calculus,which contributes to improving the system characterization and control capabilities.Based on fractional-order theory,this article discusses the dynamical evolution of T-S fuzzy complex networks synchronization under different control strategies,and confirms the effectiveness of these control methods through numerical experiments.The main work contents are summarized as follows.The derivation process of control methods,model construction and experimental arguments related to fractional-order complex networks is discussed.The pinning synchronization control problem of multi-node star complex networks and the asymptotic stability analysis of fractional-order complex networks are studied.With the completion of the local synchronization analysis of the complex network,the specific implementation mechanism of the pinning control method is elaborated in the form of state equations and numerical simulations.The asymptotic stability issue of fractional-order Lü chaotic system is analyzed and verified by corresponding numerical examples.For the problem of system instability during controller execution caused by uncertainties such as inaccurate signal conversion,limited resolution and disturbances,a non-fragile fuzzy control algorithm is proposed.Based on the T-S fuzzy model,the nonlinear terms in the fractional-order unified chaotic system are reconstructed,and the sufficient discriminant conditions to achieve the global asymptotic stability of the system are derived in accordance with Lyapunov’s stability theorem,and the corresponding controller design is completed.The exponential synchronization problem of fractional-order T-S fuzzy complex networks in the framework of Filippov discontinuity theory is discussed.The effects of mixed time-varying delays and discontinuous activations on the dynamical behavior of complex networks are investigated.Based on the state-space description,the sampled data idea which is different from the continuous control system is proposed to improve the versatility and utilization of the controller and to relieve the channel transmission pressure.For further improving the system control accuracy,the sampled-data fuzzy controller is designed with the same premise variables based on the reconstruction of the fractional-order T-S fuzzy complex network,and the bilateral time-dependent Lyapunov-Krasovskii function is constructed to reduce the influence of the maximum sampling interval on the system control.Aiming at issue of synchronization control failure due to hidden local network structure,imprecise modeling parameters and uncertain disturbances in fractional-order complex networks,an adaptive controller is designed.Combined with the pinning control method,asymptotic synchronization and exponential synchronization of fractional-order T-S fuzzy complex networks are studied to reduce system losses while realizing self-adjustment of control parameters.The robust simultaneous stabilization of the fractional-order T-S fuzzy complex network with time-varying coupling and uncertainty is proved based on Lyapunov stability theory,and the corresponding synchronization criterion is derived. |
