The stochastic model proves global existence and uniqueness of positive solutions, moment boundedness, persistence, and almost-sure exponential stability via matrix inequalities, with simulations showing that uncertainty alters effective capacity while preserving boundedness under suitable parameter
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Analysis of a Stochastic Energy Supply and Demand Model with Renewable Integration
The stochastic model proves global existence and uniqueness of positive solutions, moment boundedness, persistence, and almost-sure exponential stability via matrix inequalities, with simulations showing that uncertainty alters effective capacity while preserving boundedness under suitable parameter