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In the phenomenon of brake noise，the parametric uncertainty and correlation inevitably exist in the automotive brake systems，leading to some uncertainty and correlation of the system response. To address this problem，the uncertainty and correlation analysis for the stability responses of brake systems was carried out. A multi-ellipsoidal convex model was used to depict the uncertainty and correlation of system parameters，and the stability responses of system were characterized by the unstable modal damping ratios. The Monte Carlo simulation，the first-order perturbation method and the second-order perturbation method were respectively combined with the multi-ellipsoidal convex model respectively，and three uncertainty analysis methods of system stability responses were proposed. Based on the Monte Carlo simulation and the first-order perturbation method，two correlation analysis methods of system uncertain responses were developed respectively. The combinatorial methods for establishing the ellipsoid domains of system responses were presented by combining the uncertainty analysis and correlation analysis methods. A numerical example was given to verify the effectiveness of the proposed methods. The analysis results demenstrate that the proposed methods can effectively obtain the boundary intervals，correlation coefficients and ellipsoid domains of system responses，and the methods have high computational accuracy and efficiency.
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| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |
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