Bulgakov problem of the accumulation of perturbations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 39-43
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The Bulgakov problem of maximizing the Euclidean norm of the solution of a linear time-invariant system at a fixed instant of time on the set of piecewise continuous bounded scalar controls is considered. A control law as a function of time and of the state of the system is proposed. The conditions ensuring that the proposed control is a solution to the problem under study are formulated.