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

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

On the Stability of Nonlinear Systems with the Monotonic Differentiable Nonlinear Characteristics

Author(s):

N. V. Kuznetsov

Russia, 198904 St.Petersburg, Staryi Petergof, Botanicheskaya Str.,
St.Petersburg State University, NIIMM,
Laboratory of Theoretical Cybernetics

nick@920.spb.ru

Abstract:

In the paper, using a functional differential equation, a class of nonlinear pulse systems is studied, which the systems with the width, frequency, combined, and other modulation belong to. A continuous linear part of a system is assumed to be stable and a static characteristic of pulse element is in the sector and, in addition, is differentiable and monotonic. For this class of systems a new frequency stability criterion is obtained.

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