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The necessity and sufficiency of anytime capacity for stabilization of a linear system over a noisy communication link, Part II: vector systems
[article]
2007
arXiv
pre-print
In part I, we reviewed how Shannon's classical notion of capacity is not sufficient to characterize a noisy communication channel if the channel is intended to be used as part of a feedback loop to stabilize an unstable scalar linear system. While classical capacity is not enough, a sense of capacity (parametrized by reliability) called "anytime capacity" is both necessary and sufficient for channel evaluation in this context. The rate required is the log of the open-loop system gain and the
arXiv:cs/0610146v2
fatcat:gfpnusgi4vedrpx27kabnmct4u