This chapter is devoted to \(\textbf{d}\) -homogeneous stabilizationHomogeneous stabilization of linear time-invariant (LTI) systems. We present a criterion of \(\textbf{d}\) -homogeneous stabilizability with nonzero degree for LTI plant, where \(\textbf{d}\) is a linear continuous dilationDilation in \(\mathbb {R}^n\) . We design various finite-time and fixed-time homogeneous stabilizers. We study their robustness with respect to measurement noise and additive perturbations. We also develop generalized homogeneous sliding-mode controlSliding-mode control algorithms rejecting matched perturbations.