Control of Degeneration of Discrete Multichannel Systems with Multiple Discrete Intervals
N. A. Dudarenko, M. V. Polyakova, A. V. Ushakov
St. Petersburg National Research University of Information Technologies, Mechanics and Optics
dudarenko@yandex.ru
Keywords: multidimensional discrete system, multiple discrete intervals, filter hypothesis, degeneration, singular values, degeneration functional, criterial matrix
Pages: 66-73
Abstract
Discrete multichannel systems whose separate channels are characterized by discrete intervals of varying duration satisfying the multiplicity condition are considered for possible degeneration. The main result is based on the concept of reducibility of these channels to a model representation in the form of a discrete description with discrete intervals equal to half the minimum. A possibility of degeneration of discrete multichannel systems in the event of incorrect correspondence of the intensities of input fluxes to the original discrete intervals is studied. The problem is solved quantitatively by using degeneration functionals designed on the spectrum of singular values of criterial matrices
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