Zero-Error Feedback Capacity for Bounded Stabilization and Finite-State Additive Noise Channels

2021/08/09 by Saberi, Amir, Farokhi, Farhad, Nair, Girish
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.2108.03874

Abstract

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.

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