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A linear discrete-time quadratic optimum control problem is considered in an infinite-dimensional space. Necessary and sufficient conditions for the existence and uniqueness of the optimum solution are given. The finite-time optimum solution is also studied.

A simple and easy - to - use computer simulator for distributed parameter systems is presented. The simulator is able to treat parabolic and elliptic systems in two - dimensional domains. Two examples are given to demonstrate the use of the simulator.

The main purpose of a robust controller is to stabilize the closed loop system and regulate the measurements in spite of a class of perturbations and system parameter variations. The controller may be tuned on the basis of measurements made directly from the process.