Abstract
We consider the problem of stabilizing two scalar plants across a Gaussian multiple access channel (MAC). The states of both the plants are encoded separately and transmitted across a shared MAC channel to a joint decoder/controller. The decoder receives the sum of the two transmissions corrupted by an additive white Gaussian noise (AWGN). A necessary condition for stabilization of the two plants with any encoder and decoder design is obtained. Particular encoder and decoder designs are presented to provide sufficient conditions for stabilization. Two cases are considered: When the encoders can cooperate with each other by sharing information and when they cannot. The results suggest interesting similarities and differences as compared to stabilization of a single plant across a point to point AWGN channel.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
