Dynamic model of urban sports infrastructure supply and demand based on GDP growth

Abstract

For different city, the change rate of the supply and demand of the sports infrastructure is not the same and is subject to regional GDP growth constraints. Taking GDP growth as control variables, a dynamic model of multi-city sports infrastructure supply and demand system was established. According to Lyapunov stability theory, the system asymptotically stable condition was obtained. Using the linear matrix inequality method, the paper gets a control method that cities with different development level can be unified use for making their sports infrastructure system asymptotically stable and supply-demand equilibrium. The method can reduce the cities' sports infrastructure construction control complexity. © Maxwell Scientific Organization, 2014.