Abstract

Scaled group consensus problem of second-order multi-agent systems is investigated in this paper, and the dynamical and stationary consensus protocols are proposed respectively. Firstly, scaled group consensus is analyzed for the second-order multi-agent systems with directed interconnection topology. Subjected to time-varying communication delay, then, the dynamical and stationary consensus protocols in synchronously-coupled forms are adopted for the second-order multi-agent systems, and delay-dependent sufficient consensus conditions in the form of Linear matrix inequalities (LMIs) are obtained by constructing Lyapunov-Krasovskii functional. Finally, simulation examples are given to verify the theoretical results.

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