Exponential Consensus of Multiagent Systems With Lipschitz Nonlinearities Using Sampled-Data Information

In this paper, exponential consensus of general linear multiagent systems with Lipschitz nonlinear dynamics using sampled-data information is investigated. Both leaderless and leader-following consensuses are considered. Using input-delay approach, the resulting sampled-data closed-loop systems are first reformulated as continuous systems with time-varying delay in the control input. Then, decoupled conditions in terms of linear matrix equality (LMI) on the Lipschitz constant, the decay rate, the communication graph parameters, and the control gain matrix to guarantee exponential consensus are derived using novel Lyapunov functionals. Based on the sufficient conditions, controller design methods are also provided in the form of decoupled LMIs. Finally, simulation examples including the consensus of Chua's circuit systems are given to illustrate the effectiveness of the obtained results.