  This paper develops a homogeneity-based approach to finite/fixed-time
stabilization of linear time-invariant (LTI) system with quantized
measurements. A sufficient condition for finite/fixed-time stabilization of
multi-input LTI system under states quantization is derived. It is shown that a
homogeneous quantized state feedback with logarithmic quantizer can guarantee
finite/fixed-time stability of the closed-loop system provided that the
quantization is sufficiently dense. Theoretical results are supported with
numerical simulations.
