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In this paper, based on a notion of network clustering, we propose a state aggregation method for positive systems evolving over directed networks, which we call positive networks. In the proposed method, we construct a set of clusters (i.e., disjoint sets of state variables) according to a kind of local uncontrollability of systems. This method preserves interconnection topology among clusters as...
This paper proposes a novel type of decentralized observers for a network system, where identical linear subsystems are interconnected. For this system, we derive a state-space model with block-triangular structure, in which the dynamics of the interaction among the subsystems and the dynamics of each subsystem are decoupled. Based on the decoupled model, we design a hierarchical decentralized observer,...
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