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We study the problem of estimating the state of a linear time-invariant plant in a distributed fashion over networks allowing only intermittent transmission of information. By attaching to each node an observer that employs information received from its neighbors in an intermittent fashion, we propose a distributed state observer that guarantees global asymptotic stability of the zero estimation error set. We also characterize the proposed observer’s robustness to measurement and communication noise in terms of ISS. The design of parameters is formulated as matrix inequalities. The properties of the proposed observer are shown analytically and validated numerically.

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On Distributed Observers for Linear Time-invariant Systems Under Intermittent Information Constraints**This research has been partially supported by the National Science Foundation under CAREER Grant no. ECS-1450484 and Grant no. CNS-1544396, and by the Air Force Office of Scientific Research under Grant no. FA9550-16-1-0015.