Mathematics – Dynamical Systems
Scientific paper
2012-02-12
Mathematics
Dynamical Systems
12 pages, 2 figures
Scientific paper
Di Paola and Falsone's formula is widely used in studying stochastic dynamics of nonlinear systems under Poisson white noise. In this short communication, an alternative expression is presented. Compared to Di Paola and Falsone's original expression, the alternative one is applicable under more general condition, and shows significantly improved performance in numerical implementation. The alternative expression turns out to be a special case of the Marcus integrals.
Duan Jinqiao
Li Xiaofan
Sun Xu
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