A class of controls for a functional-differential continuous-discrete system (Q1941847)

The authors consider linear controlled systems of functional differential equations containing both equations with continuous time variable and those with discrete one. The time is belong to the interval \([0,T]\) with given \(T\). The continuous subsystem is the general case of a linear functional differential system which was studied by the members of the Perm Seminar under the leadership of Professor N. V. Azbelev. The subsystems are interconnected, and controls acts directly only on the discrete subsystem. The control aim is defined by some vector functional. In the paper, a linear algebraic system is given whose solutions solve the considered control problem.