Value sets of the discrete interval length in the problem of discrete stabilization

Investigation results on solution of the problem of stabilization of linear stationary systems, using discrete controls, are presented. Necessary and sufficient conditions of problem resolvability are given for any fixed value of the discreteness step. Value sets of the discreteness step are constructed, when a solution of the discrete stabilization problem does not exist. The same sets are constructed, when resolvability conditions differ from resolvability conditions of the continuous stabilization problem. Sets of continuous and discrete stabilizing controls are analyzed and compared for the cases, when the gains coincide in the both controls.