This article studies the zero-error feedback capacity of { \em causal} discrete channels with memory. First, by extending the classical zero-error feedback capacity concept, a new notion of { \em uniform zero-error feedback capacity} $ C_{ 0f} $ for such channels is introduced. Using this notion a tight condition for { bounded} stabilization of unstable { noisy} linear systems via causal channels is obtained, assuming no { channel} state information at either end of the channel.
Categories: cs.IT math.IT