Linder I. Research of practical stability of the differential inclusions with impulse impact

The aim of this thesis is to investigate practical stability of differential inclusions with impulse impact. We prove compactness of initial condition optimal sets in the problem of strong and weak practical stability for nonlinear differential inclusions with impulse impact. We obtain necessary and sufficient conditions for a point to be on the border (in the interior) of strong practical stability sets of differential inclusion with impulse impact. Further, we investigate the problem of practical stability for linear differential inclusion with linear impulse impact. We obtain Minkowski functional, support function and function of deformation for the maximal by inclusion set of practical stability of linear differential inclusion.