LAUSR

The mean square stability pertaining to a stochastic electricity market model is analyzed in this paper. Considering the random nature of demand elasticity, the stochastic electricity market model under small Gauss type random excitation has already been presented. Using the theory of stochastic differential equations, matrix theory and eigenvalue techniques, the sufficient conditions of the mean square stability for this electricity market model are provided and testified theoretically. The conclusions can judge the stability of the system by available data on demand elasticity. The obtained results are validated and illustrated by numerical examples.