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Stability and stabilization for linear state feedback control systems in thepresence of sensor quantization are studied. As the closed-loop system isdescribed by a discontinuous right-hand side differential equation, Krasovskiisolutions (to the closed-loop system) are considered. Sufficient conditions inthe form of matrix inequalities are proposed to characterize uniform globalasymptotic stability of a compact set containing the origin. Such conditionsare shown to be always feasible whenever the quantization-free closed-loopsystem is asymptotically stable. Building on the obtained conditions,computationally affordable algorithms for the solution to the consideredproblems are illustrated. The effectiveness of the proposed methodology isshown in three examples.

On sensor quantization in linear control systems: Krasovskii solutions meet semidefinite programming