Profiles of critical states in diagnostics of controlled processes

Abstract

The forecasting problem of critical states of controlled processes is considered. The large deviations of controlled process from some regular state is the basis of forecasting. The main tool for the analysis of large deviations and prediction of critical states is asymptotic methods. The forecasting problem is reduced to the Lagrange-Pontryagin optimal control problem that in some conditions has a unique solution in the form of quasipotential. Based on quasipotential it is possible to build an effective prediction of critical states of controlled process.