Probabilistic Multi-Modeling by Quantum Calculus

The paper presents practical application of quantum calculus for multi-modeling. In the first part, the mathematical theory of probabilistic multi-models is presented. Based on the designed theory, the practical algorithm of switched low dimensional models is shown to approximate the high dimensional dynamics. Together with probabilistic multi-modeling the practical identification algorithm is given to estimate the weighting constants for optimal multi-models mixture. The results of theory are applicable in a lot of area of dynamic system modeling