Nonlinear stabilizability via encoded feedback: The case of integral ISS systems

In this note we observe how, using the same arguments of Liberzon and Hespanha [(2005). Stabilization of nonlinear systems with limited information feedback, IEEE Transactions on Automatic Control, 50, 910-915] , integral input-to-state stabilizability with respect to measurement errors is enough to prove stabilizability of nonlinear systems with limited information. The utility of the remark lies on the fact that, under a requirement on the data rate analogous to the one in the paper by Liberzon and Hespanha, the stabilizability result is proven for a larger class of systems.