Controllability of linear fractional stochastic systems

This paper illustrates the controllability condition for linear stochastic fractional systems. The definition of fractional stochastic controllability is given. The - controllability matrix has been presented to derive the required theorems for necessary and sufficient conditions of complete and approximate fractional stochastic controllability. The equivalency of fractional stochastic controllability to fractional controllability is also investigated. An example has been given to examine the effectiveness of the theory.