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We consider an exponentially stable closed loop interconnection of acontinuous linear plant and a continuous linear controller, and we study theproblem of interconnecting the plant output to the controller input through adigital channel. We propose a family of "transmission-lazy" sensors whose goalis to transmit the measured plant output information as little as possiblewhile preserving closed-loop stability. In particular, we propose twotransmission policies, providing conditions on the transmission parameters.These guarantee global asymptotic stability when the plant state is availableor when an estimate of the state is available (provided by a classicalcontinuous linear observer). Moreover, under a specific condition, theyguarantee global exponential stability

Event-triggered transmission for linear control over communication channels