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This paper mainly focuses on the leader - follower exponential consensus tracking problem for lure multi-agent systems with time-delays. First, the one leader - follower consensus tracking is discussed. By the Lyapunov function and the feature of Lure nonlinear function, sufficient conditions of the one leader - follower consensus tracking in a exponential way are obtained and the corresponding static output feedback controller is designed. Furthermore, we extend the one leader - follower consensus tracking to the leadership team - follower consensus tracking with a disconnected communication topology among followers. Using the Lyapunov function and the partial stability theory, sufficient conditions of leadership team - follower exponential consensus tracking with static output feedback controllers are sought out. Finally, two numerical examples are given to demonstrate the applicability and efficiency of the proposed schemes. © 2017 Technical Committee on Control Theory, CAA.
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