Title :
Data Rate Theorem for Stabilization Over Time-Varying Feedback Channels
Author :
Minero, Paolo ; Franceschetti, Massimo ; Dey, Subhrakanti ; Nair, Girish N.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of California, San Diego, CA
Abstract :
A data rate theorem for stabilization of a linear, discrete-time, dynamical system with arbitrarily large disturbances, over a rate-limited, time-varying communication channel is presented. Necessary and sufficient conditions for stabilization are derived, their implications and relationships with related results in the literature are discussed. The proof techniques rely on both information-theoretic and control-theoretic tools.
Keywords :
discrete time systems; linear systems; stability; time-varying systems; data rate theorem; discrete-time system stabilization; linear dynamical system stabilization; time-varying communication channel; time-varying feedback channels; Actuators; Communication channels; Communication system control; Entropy; Feedback loop; Source coding; Stability; Sufficient conditions; Time varying systems; Wireless sensor networks; Control under communication constraints; entropy; quantized control; source coding;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2010887
