In this paper, we consider the consensus and H= consensus problems of heterogeneous multi-agent systems composed of first-order and second-order integrator agents in directed networks with time-delay. Based on the graph the ory and the reduced-order transformation, we first rewrite the heterogeneous multi-agent systems into the corresponding reduced-order systems. Then, we study the consensus of the heterogeneous multi-agent system with time-delay by using the linear matrix inequality method. As a result, suf…
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