Asynchronous control of unstable linear systems via L2-gain-based transformations

This paper presents a method to analyze the stability of the feedback interconnection of a class of systems when the sampled signal associated to the feedback interconnection is asynchronous. In order to guarantee a stable interconnection, a combined transformation based on L₂ - gain criteria is introduced before sampling and sending the information through the network. We include a synthesis method to obtain the transformation in the side of the system, the transformation in the side of the controller, assuming that the controller is given, and the maximum sample time preserving stability of the interconnection.