We review the main results on analysis and design of control systems (CS) obtained by the authors. In particular, we discuss the basic problems of set analysis and set design of control systems, construction of controls for the set of control system paths, general solution of control problems for linear control systems, general and optimal solution of modal control problems for linear control systems, and the principle of optimal design of linear control systems.
The elements of polyhedral programming theory considering the extreme tasks with polyhedral both goal and limiting functions are presented. The authors discuss the application of polyhedral programming device for optimal control tasks by discrete dynamic objects with polyhedral performance criterions. The decision of two optimization tasks of discrete control processes is reduced. They are the control task by finite state and the task of terminal stabilization.
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