On a set of positional controls which solve the global synthesis problem for a linear equation in Hilbert spaces
DOI:
https://doi.org/10.26565/2221-5646-2013-1081-08Keywords:
problem of global synthesis, Hilbert space, linear equationAbstract
On the basis of the method of the controllability functional it is shown that for a linear equation with a bounded skew self-adjoint operator in Hilbert spaces any non-increasing non-negative on the non-negative semiaxis function, which has a certain number of points of decreasing, and one has a negative derivative on some interval, generates a positional control, which solve the problem of the global synthesis.
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