ABSOLUTE-IN-NONLINEARITY-AND-DELAY STABILITY IN QUADRATIC MEAN OF STOCHASTIC DIFFERENTIAL-DIFFERENCE SYSTEMS WITH POISSON SWITCHINGS

摘要

Algebraic coefficient conditions of absolute asymptotic stability in quabratic mean of the equilibrium of a stochastic dynamic automatic control system are obtained in the present paper. A mathematical model of this system is a system of Ito-Skorokhod stochastic differential-difference delay equations with several standard Wiener processes, Poisson perturbations, and a finite number of delays.