Fixed-time stochastic synchronization of impulsive multi-weighted complex dynamical networks with non-chattering control.

This paper studies the fixed-time stochastic synchronization problem of multi-weighted complex dynamical networks with impulsive effects. Different from most of previous networks, stochastic disturbances and impulsive effects are considered in this model. The non-chattering controller is utilized, and by devising a novel time-dependent Lyapunov function and dividing the impulsive intervals, a new sufficient criterion for the fixed-time stochastic synchronization (FDTSS) of multi-weighted complex dynamical networks (MWCDNs) is obtained. Secondly, compared with some existing results, this paper proposes a novel means of calculating the settling time by constructing comparison systems and exploiting the method of the classification discussion, and the settling time does not depend on the initial values of the system. In addition, compared with the existing fixed-time and finite-time controllers, the controller devised in this paper is continuous and do not involve sign functions, which non-chattering phenomenon in practical applications. Finally, the Lorenz system is submitted to certify the justifiability of the theoretical results. [ABSTRACT FROM AUTHOR]