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This paper studies the consensus problem in second-order multi-agent systems. For the first time, an event-triggered impulsive consensus control scheme is proposed to solve this problem. Under the event-triggered impulsive consensus control scheme, a distributed event-condition is defined in advance for each agent and the impulsive control is taken only when such condition satisfies, and no any actions...
Finite-time consensus of heterogeneous multi-agent system (MAS) with external disturbances is investigated in this paper. Distributed control algorithm is designed for the agents described by leaderless MAS. It can be shown that the state errors of any two agents reach a region in finite time with external disturbances by using Lyapunov stability analysis and algebraic graph theory. At last, one example...
This paper studies the consensus problem of a first-order multi-agent system by using event-based strategy. For each agent, both of the control law and the triggering function utilize estimated combinational measurement, which is calculated based on the combinational measurement that sampled at the agent's event instant. The distributed triggering function is developed to compute these instants. Only...
This paper proposes an “out-in degree” Laplacian matrix to dispose the distributed optimization problem for both the continuous-time and discrete-time multiagent systems with the first-order dynamics over a general strongly connected digraph. By making use of the out-degree and in-degree Laplacian matrices of the directed graph, we establish the parameter matrix which possesses some properties similar...
In this paper, we probe into the influence of network structure on the convergence rate of agents in multi-agent systems, especially for the position and number of nodes of network on it. We discover some results of which kinds of networks are conductive to the faster convergence rate of agents in multi-agent systems. Firstly, if there is no ring in different networks where the number of nodes are...
In this paper, we study the consensus problem for second-order multi-agent systems with heterogeneous unknown inertias and control gains under a general directed graph. Unlike the existing consensus algorithms for second-order multi-agent systems in which all agents are assumed to have common unit inertias or share common control gains, we allow the inertias and the control gains to be heterogeneous...
The consensus problem in directed networks of multiagent is studied. A new notion, called weighted average-consensus, is proposed and a class of distributed controller is applied to achieve global asymptotically weighted average-consensus in networks of multiagent with fixed and switching topology. We establish a connection between the Fiedler eigenvalue of the graph Laplacian and the performance...
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