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In this paper we address the question of robustness of critical bit rates forthe stabilization of networked control systems over digital communicationchannels. For a deterministic nonlinear system, the smallest bit rate abovewhich practical stabilization (in the sense of set-invariance) can be achievedis measured by the invariance entropy of the system. Under the assumptions ofchain controllability and a uniformly hyperbolic structure on the set ofinterest, we prove that the invariance entropy varies continuously with respectto system parameters. Hence, in this case the critical bit rate is robust withrespect to small perturbations.

Robustness of critical bit rates for practical stabilization of networked control systems