Stabilization under shared communication with message losses and its limitations

Mathematics – Optimization and Control

Scientific paper

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16 pages

Scientific paper

We consider a synthesis problem for a remotely controlled linear system where
the communication is constrained because of the shared and unreliable nature of
the channel. Modeling the constraints by a periodic transmission scheme and
random message losses, we present an H-infinity design framework and study the
limitations in the communication required for stabilization.

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