Current Smart Grids and their facilities acquire stable features of cyber-physical systems, the components of which are physical (technological) and information - communication subsystems. In a cyber-physical system, a failure in one subsystem can cause a failure in an other one, and combined emergency states can occur as a result, so there is a problem of ensuring the Smart Grid resilience to physical and information disturbances - the problem of cyber-physical stability (resilience). The report considers the issues of applying the State Estimation procedure to analyze and increase the resilience of Smart Grid and its facilities. It is shown that the State Estimation procedure serves as an effective mean of identifying deliberate impacts or cyber-attacks on the information-communication subsystem and eliminating their consequences on technological subsystem operation. Ways to improve the efficiency of the State Estimation procedure for solving this task are considered.