Finite-time synchronization of impulsive stochastic systems with DoS attacks via dynamic event-triggered control

Abstract

This paper is concerned with the finite-time synchronization (FTS) issue for stochastic complex networks (SCNs) with/without time-delay under impulsive effects subject to denial of service (DoS) attacks. Firstly, a novel distributed dynamic event-triggered controller (DETC) is designed to realize the FTS for SCNs without delays, and the FTS conditions are addressed in the form of the algebraic inequalities. The Zeno behavior can be excluded for the proposed dynamic event-triggered mechanism (DETM). Secondly, a new feedback controller is designed to achieve the FTS for SCNs with time-varying delay. In addition, by applying Lyapunov stability theory and stochastic analysis technology, the FTS conditions are derived. Finally, two numerical examples are provided to illustrate the feasibility of the designed control strategies and the correctness of the stated theoretical results.