A method for monitoring operation of a technological system, the method comprising: obtaining a real state of the TS at an arbitrary point in time or continually, wherein the state of the TS is determined based on states of one or more elements of the TS; initializing a cybernetic control system by synchronizing the CCS with the TS in terms of time or in terms of state of one or more elements of the TS; comparing, by the CCS, the real state of the TS with an ideal state of the TS; based on the comparison, identifying a deviation of the real state of the TS from the ideal state of the TS; responsive to identifying the deviation, checking an integrity of at least functional interconnections of the states of one or more elements of the TS, wherein checking the integrity comprises: initializing the CCS by the real state of an object of control of the TS; determining the ideal state of control subjects by modeling performed by the CCS for a given state of the object of control; determining the ideal states determined by the CCS for the control subjects of the TS as compared to the real states of the control subjects of the TS; comparing the ideal state of control subjects of the TS as determined by the CCS for a given state of an object of control with the real state of the control subjects of the TS for the same state of the object of control, determining that the functional interconnection is disturbed when the ideal state of control subjects of the TS for a given state of an object of control does not coincide with the real state of the control subjects of the TS for the same state of the object of control, and determining that the functional interconnection is sustained when the ideal state of control subjects of the TS for a given state of an object of control coincides with the real state of the control subjects of the TS for the same state of the object of control; determining whether the ideal state of the TS for the point in time is a modeling error based on one or more confirmed sustained functional interconnections between elements of the TS; and identifying anomalies in the TS based on one or more disturbed functional interconnections between elements of the TS. obtaining a real state of the TS at an arbitrary point in time or continually, wherein the state of the TS is determined based on states of one or more elements of the TS; initializing a cybernetic control system by synchronizing the CCS with the TS in terms of time or in terms of state of one or more elements of the TS; comparing, by the CCS, the real state of the TS with an ideal state of the TS; based on the comparison, identifying a deviation of the real state of the TS from the ideal state of the TS; responsive to identifying the deviation, checking an integrity of at least functional interconnections of the states of one or more elements of the TS, wherein checking the integrity comprises: initializing the CCS by the real state of an object of control of the TS; determining the ideal state of control subjects by modeling performed by the CCS for a given state of the object of control; determining the ideal states determined by the CCS for the control subjects of the TS as compared to the real states of the control subjects of the TS; comparing the ideal state of control subjects of the TS as determined by the CCS for a given state of an object of control with the real state of the control subjects of the TS for the same state of the object of control, determining that the functional interconnection is disturbed when the ideal state of control subjects of the TS for a given state of an object of control does not coincide with the real state of the control subjects of the TS for the same state of the object of control, and determining that the functional interconnection is sustained when the ideal state of control subjects of the TS for a given state of an object of control coincides with the real state of the control subjects of the TS for the same state of the object of control; initializing the CCS by the real state of an object of control of the TS; determining the ideal state of control subjects by modeling performed by the CCS for a given state of the object of control; determining the ideal states determined by the CCS for the control subjects of the TS as compared to the real states of the control subjects of the TS; comparing the ideal state of control subjects of the TS as determined by the CCS for a given state of an object of control with the real state of the control subjects of the TS for the same state of the object of control, determining that the functional interconnection is disturbed when the ideal state of control subjects of the TS for a given state of an object of control does not coincide with the real state of the control subjects of the TS for the same state of the object of control, and determining that the functional interconnection is sustained when the ideal state of control subjects of the TS for a given state of an object of control coincides with the real state of the control subjects of the TS for the same state of the object of control; determining whether the ideal state of the TS for the point in time is a modeling error based on one or more confirmed sustained functional interconnections between elements of the TS; and identifying anomalies in the TS based on one or more disturbed functional interconnections between elements of the TS.