Stability of stationary states in a dynamical system in the static optimization problem

The problem of static optimization, taking into account multiple stationary states of the controlled object, is considered. The emphasis is on determi ning whether there may exist among the stationary points in the state space of a dynamical system such topological types as a stable and unstable "nod e," "focus," or "center." An algorithm is developed for distinguishing betw een the stable and the unstable stationary points in the course of performi ng the iterative process of searching for an optimal solution.