Minimax synthesis of one class of distributed control systems

A range of optimization problems are discussed for parabolic distributed control systems that occur in development of control for the ground water level in irrigation projects. The solution methods approximate these problems as families of simpler problems. The structure of suboptimal control is proved legitimate, the parameters on an asymptotically optimal three-positional controller and conditions for intsability on the whole are obtained for the above range of closed-loop nonlinear control systems.