The asymptotic stochastic stability in large of the composite stochastic systems

Abstract

The sufficient conditions of asymptotic stochastic stability in large of non-linear composite stochastic systems are established. In this case the objective is to analyze composite systems in their lower order subsystems and in terms of their interconnecting structure. Non-linear systems are considered, with random noise which obeys the law of large numbers. An example is given to illustrate the criteria.