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- W2395571368 abstract "We deal with the state consensus problem of a general heterogeneous linear multi-agent system under a time-invariant and directed communication topology. First we adopt a general linear consensus protocol consisting of two parts. One is a state feedback of the agent for independently regulating its dynamics, and the other is a cooperative term in a generalized feedback form of the relative states between the agents. Then we propose a state-linear-transformation to equivalently transform the state consensus problem into a partial stability problem. Therefore, the result from the partial stability theory is applied to derive a sufficient and necessary algebraic criterion of consensus convergence, which is expressed in terms of the Hurwitz stability of a real matrix constructed from the parameters of both the agents’ models and the protocol. Meanwhile, an analytical formula of the consensus function is presented. Based on the criterion, we propose a design procedure of the gain matrices in the protocol by solving a bilinear matrix inequality." @default.
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- W2395571368 date "2016-05-20" @default.
- W2395571368 modified "2023-09-24" @default.
- W2395571368 title "Consensus of heterogeneous linear multi-agent systems: Linear-transformation-based partial stability approach" @default.
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- W2395571368 doi "https://doi.org/10.1177/0142331216644316" @default.
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