On estimating the attraction regions of the equilibrium states of dynamic systems by the direct Lyapunov method (Q1099321)

The authors make use of the method of non-local reduction for estimating the attraction regions of asymptotically stable equilibriums of states of dynamical systems linked to the construction of Lyapunov functions in which the trajectories of two-dimensional systems are contained. The authors propose a new class of functions, widening a class of functions obtained by Lur'e-Postnikov.