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Minimal data rate stabilization of nonlinear systems over networks with large delays

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arxiv 0706.2631 v2 pith:LXDSKWNW submitted 2007-06-18 math.OC

Minimal data rate stabilization of nonlinear systems over networks with large delays

classification math.OC
keywords systemsratearbitrarilydatahybridlargenetworksnonlinear
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Control systems over networks with a finite data rate can be conveniently modeled as hybrid (impulsive) systems. For the class of nonlinear systems in feedfoward form, we design a hybrid controller which guarantees stability, in spite of the measurement noise due to the quantization, and of an arbitrarily large delay which affects the communication channel. The rate at which feedback packets are transmitted from the sensors to the actuators is shown to be arbitrarily close to the infimal one.

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