%0 Journal Article %T Stochastic finite %A Bo Wang %A Fucheng Zou %A Jun Cheng %J Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering %@ 2041-3041 %D 2019 %R 10.1177/0959651818770337 %X This article investigates the problem of the stochastic finite-time H ¡Þ filtering for continuous nonlinear Markovian jump systems with partly known transition probabilities. Based on linear matrix inequality techniques, a novel Lyapunov function is constructed to design a filter with a prescribed finite-time H ¡Þ performance index. Reciprocally, convex approach is introduced to decrease the conservatism of achieved criteria. Finally, some numerical simulations are carried out to demonstrate the effectiveness of developed method %K Filtering %K finite-time %K nonlinear %K Markovian jump system %K transition probability %U https://journals.sagepub.com/doi/full/10.1177/0959651818770337