Integral Distributed Delay Consensus of MASs With Randomly Occurring Nonlinearities and Uncertainties in Noisy Environment

This paper is mainly concerned about a distributed delay consensus problem for multi-agent systems(MASs) model with randomly occurring nonlinearities(RONs) and uncertainties(RONs) in stochastic environment. A novel general kind of integral distributed delay protocol is proposed, which is operated as a weighted integral of exchange information over previous time interval. Based on a Lyapunov function approach and Ito stochastic derivative theory, the conditions for the convergence in the mean square to achieve integral distributed delay consensus are established. Numerical examples are addressed to verify the theoretical conclusions.