Stable control for contaminated aquifer in an uncertain environment

Abstract

This paper considered contamination of aquifer resulting from petroleum spillage, which is a common phenomenal in the Niger Delta area of Nigeria. We used the model given by Bestman (1987) and assumed that some endogenous variables are built into the system. To achieve a level of desirable state, we expect the state of water and that of petroleum to be as close as possible within some   neighbourhood. A method to compute a stable control u (.) that will minimise the cost of achieving this desirable state was considered in this paper. We apply the result to a second order system.