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Multi-variables coupling problems bring disadvantageous effect to macro-analyzing and decision-making of large-scale engineering project implement states. In order to solve the problem, system multi-variables coupling mechanism of engineering project implement state is mathematically analyzed and described, and the universal equation which includes multi-variables coupling results is set up. Then, two key parameters to solve multi-variables coupling problems are found through decomposition analyzing the universal equation. On the basis of which, comparing Laplace equation which includes system assignment pole and engineering management requirement with Laplace transformation equation which contains system multi-variables coupling result, the two key parameters are obtained. Meanwhile, Laplace solution program of multi-variables coupling problem is given. At last, real engineering experiments prove that the Laplace solution program not only is availability, but also has higher checking precision.

A New Solving Method of Multi-Variables Coupling Problem in Engineering State Diagnosis System