The optimal control model of valley pollution and solving method

the cost of pollution abatement is determined by pollution abatement. Certain pollution in the environment has damage to the environment. Pollution abatement costs and environmental damage determines the function of the environment cost. This paper tries to describe the continuous transformation characteristic of reservoir valley pollution with optimal control theory, and make the environmental cost function as the performance indicators. After constructing the optimal control model of reservoir region pollution, it presents the necessary condition of optimal control of reservoir valley pollution using maximum principle and analyzes the characteristic and concrete expression of optimal control strategy of reservoir pollution control in different condition. At last, an analysis of a numerical example is presented and the results indicate the approach is valid.