Application of the Lyapunov’s vector functions method to a problem of effects normalization

The generalized definition of an external effects normalization problem for continuous dynamic systems is given. The sufficient conditions of Х-technical stability containing the basis of normalization problem have been obtained by use of vector differential inequalities and Lyapunov’s vector functions (LVF). For quasi-linear systems the procedure of construction LVF and nonlinear comparison system, used for construction technical stability checking algorithms has been given.