Abstract:
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.
Key words:Bulgakov problem, maximizing the Euclidean norm of the solution, linear time-invariant system, control synthesis, matrix exponent.
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