ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Estimate of the Initiation Time of the Acquisition Transient Through Output in the Discrete Phase System.



RUSSIA, 198904, Saint-Petersburg, Petrodvorets, Bibliotechnaya sq., 2,
Saint-Petersburg State University,
faculty of mathematics amd mechanics,


The discrete phase system with one periodic nonlinearity is considered. The object of research is a one of the transient characteristics in the phase system --- the initiation time of the acquisition transient through output. This characteristic determined as a time which need for phase error variation not exceed period of nonlinearity.
The frequency-domain method for the up estimation of the initiation time of the transient through output is expounded. We are use the direct Lyapunov method, the discrete analogue of the frequency-domain Jakubovich--Kalman theorem, the non-local reducing Leonov method.
We are formulate the common criteria for the multidimensional discrete system purposely to get the estimates of initial data set under which the solutions have the initiation time of the acquisition transient through output which not exceed a given value.

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