Abstract:In order to find out the influence mechanism of various factors on the cooperation tendency of small and micro technology-based enterprises, after analyzing the organizational structure and operation process of platform enterprises, this paper uses the optimal control theory to establishes the optimal control model of cooperative game between small and micro technology-based enterprises. Then, by using the pontryagin maximum principle, this paper finds the Nash equilibrium solution of the model, and observes the change of the total performance of the common platform by adjusting the number of small and micro technology-based enterprises. Finally, this paper uses MATLAB simulation to verify the rationality and effectiveness of the model. The research shows that the self growth coefficient of performance level and the growth coefficient of performance level brought by cooperation positively affect the cooperative performance factor, the performance level attenuation coefficient, the performance cost coefficient and the enterprise performance coefficient reversely affect the cooperative performance factor, and the joint effect of various factors has an impact on the cooperative tendency of small and micro technology-based enterprises. The total performance of the common platform increases with the increase of number of small and micro technology-based enterprises on the platform.