Abstract:Studies the stability problem of composite systems with nonlinear disturbances and uncertainty. Through the solutions structure of differential equations, matrix similar transformation and matrix exponential properties are applied to translate the stability problem of composite nonlinear systems into that of a linear system. According to linear system sufficient condition for asymptotic stability, deduces a new discriminant criteria for the stability of original systems. Finally, one demonstrative numerical example proves the availability and the effectiveness of the approach.