Adaptive finite-time pinned and regulation synchronization of disturbed complex networks

This paper investigates robust adaptive pinning control strategies and coupling reg-ulation algorithms to deal with the finite-time synchronization problem of nonlinear complex networks in the presence of general disturbances. First, the concept of finite -time synchronized stability is employed in the sense of finite-time stability. To eliminate the negative impacts of disturbances and nonlinear dynamics, adaptive technique is developed so that the state-dependent rate and constant bounds of disturbances and nonlinear dynamics can be suitably estimated on line. Then, combining the adaptive estimations and Lyapunov functions, pinning control strategies for pinned nodes and two kinds of coupling regulation algorithms for un-pinned nodes are developed to achieve the finite-time bounded synchronization results of the complex dynamical network. Finally, simulation results are carried out to demonstrate the proposed control and regulation methods and their effectiveness.& COPY; 2023 Elsevier B.V. All rights reserved.