Sufficient conditions for stabilization in feedback control over noisy channels using anytime rateless codes

We consider the problem of remotely controlling an unstable first-order noiseless linear plant over a discrete symmetric memoryless channel using anytime source-channel coding. We propose a transmission scheme, exploiting unequal error protection (UEP) based on Luby transform (LT) codes under sequential belief propagation (BP) decoding. Sufficient conditions on mean square stability of the linearly controlled closed-loop system are derived for the anytime UEP-LT codes.