%0 Journal Article %T Optimal control of a waste water cleaning plant %A Ellina V. Grigorieva %A Evgenii N. Khailov %J Electronic Journal of Differential Equations %D 2010 %I Texas State University %X In this work, a model of a waste water treatment plant is investigated. The model is described by a nonlinear system of two differential equations with one bounded control. An optimal control problem of minimizing concentration of the polluted water at the terminal time T is stated and solved analytically with the use of the Pontryagin Maximum Principle. Dependence of the optimal solution on the initial conditions is established. Computer simulations of a model of an industrial waste water treatment plant show the advantage of using our optimal strategy. Possible applications are discussed. %K Optimal control problem %K nonlinear model %K waste water cleaning process %U http://ejde.math.txstate.edu/conf-proc/19/g4/abstr.html