Abstract
The conditions of asymptotic stability of the trivial solution of stochastic diffusion dynamic systems of automatic regulation with external disturbances are obtained. In work is to find criteria for the absolute stability of solutions of stochastic diffusion dynamic systems of automatic regulation (SAR) with external disturbances. The problem of determining sufficient algebraic conditions for the stability of stochastic diffusion dynamic SARs with aftereffect and taking into account external disturbances is relevant, since its solution makes it possible to study complex stochastic systems using matrix calculations.
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