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

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

Asymptotic Stability of Nonlinear Pulse Systems in a Critical Case of the one Zero Root


M. S. Kabrits

Saint-Petersburg State University,
Department of Theoretical cybernetics,
28 Universitetskaya str., 198504 St. Petersburg, RUSSIA,


Nonlinear pulse system and ''equivalent'' system is obtained due to the exchange pulse element by static characteristic are considered. Critical case of the one zero root characteristic equation of the linearized system is researched.
Stability by the first approximation of equivalent system implies asymptotic stability of nonlinear pulse system is obtained.
This work was partially supported by RFFI, grant N02-01-00542 and by CPGRF, grant NSh-2257.2003.1

Full text (pdf)