Non-fragile control protocol for finite-time consensus of stochastic multi-agent systems with input time-varying delay

The existence of gain variations in control design often disrupts most of the control system performance. By considering this point, as a first attempt in the literature, a robust non-fragile state feedback control design is proposed in this paper for achieving finite-time consensus in a class of stochastic nonlinear multi-agent systems with randomly occurring uncertainty and randomly occurring nonlinearity. Specifically, the randomness phenomena are characterized with the aid of stochastic variables that satisfy the Bernoulli distribution properties. To design the non-fragile control protocol, the communication graph is chosen to be directed and connected subject to switching topologies. On the basis of the Lyapunov–Krasovskii stability theory and stochastic analysis techniques, a new set of sufficient conditions is established to guarantee that the states of all agents can reach an agreement over a given finite-time period via the proposed non-fragile switched control law. The effectiveness of the designed consensus protocol is demonstrated through an academic example.