Abstract-We consider the problem of stabilizing a linear time-invariant system using sampled encoded measurements of its state or output. We derive a relationship between the number of values taken by the encoder and the norm of the transition matrix of the open-loop system over one sampling period, which guarantees that global asymptotic stabilization can be achieved. A coding scheme and a stabilizing control strategy are described explicitly.
In REF the author derived a relationship between the norm of the transition matrix and the number of values taken by the encoder to ensure global asymptotic stability.
On stabilization of linear systems with limited information
IEEE Trans. Automat. Control
Computer Science Mathematics