Control of the spectrum of irregular oscillations of linear systems with coinciding ranks of the matrix multiplying the control and the extended matrix |
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Authors: | A K Demenchuk |
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Institution: | 1.Institute of Mathematics,National Academy of Sciences,Minsk,Belarus |
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Abstract: | We consider a linear periodic control system such that the ranks of the matrix multiplying the control and the extended matrix
consisting of the averaged coefficient matrix and the matrix multiplying the control are the same. We assume that the control
has the form of feedback linear in the state variables and is periodic with the same period as the system itself. We pose
the problem of control of the frequency spectrum of strongly irregular periodic oscillations with an objective set, that is,
the problem of finding a feedback coefficient such that the closed system has a strongly irregular periodic solution with
the desired frequencies. We obtain necessary and sufficient conditions for the solvability of this problem. |
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