Webbthe pinned matrix plays an important role in the stability of the network, there have been some efforts to bound this measure. Recently in [9], for a weighted tree, it has been shown that the minimum eigenvalue of the pinned matrix is upper bounded by the algebraic connectivity1 of the unpinned network; however, no lower bound is provided. Webblower agents. Let bi ≥ 0 be the pinning gain, i.e. the edge weight from v0 to vi, and define the pinning matrix B = diag(b1,...,bN). We then impose the following assumption. Assumption 1: The augmented graph G0 contains a spanning tree with the leader node 0 being the root node. The following lemma is useful for stability analysis [19, 20].
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Webb1 juli 2024 · The communication between the leader and agent i is captured by the pinning gain g i ⩾ 0. g i > 0 means that the leader’s state information can be observed by agent i. Denote the pinning matrix as G, then G = diag (g 1, g 2, …, g N) ∈ R N × N. Note that the leader dynamics is not required to be stable. Webb15 maj 2024 · The pinning matrix is selected as . Conclusion. The event-based leader-following consensus problem for multi-agent systems with nonlinear dynamics and hybrid time delays is investigated in this paper. We have proposed a novel distributed event-triggered controller, ... Webb1 apr. 2024 · For a complex network under a pinning control strategy, the performance of pinning synchronization is strongly influenced by several factors, containing network topologies, nonlinear dynamic characteristics, coupling strengths, pinning control gains, and pinning strategies. make custom nes cartridge