On the stability of solutions of a class of nonlinear nonautonomous systems with delay

DOI

https://doi.org/10.1109/SCP.2015.7342121
Final published version
https://doi.org/10.1109/SCP.2015.7342121
Other version

A nonlinear time-delay system with nonlinearities of a sector type and nonstationary perturbations is studied. It is assumed that the zero solution of the corresponding unperturbed delay-free system is asymptotically stable. With the aid of the Razumikhin theorem, conditions are obtained under which the perturbations do not destroy the asymptotic stability for an arbitrary continuous nonnegative and bounded delay.

Original language	English
Title of host publication	2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings
Editors	L. A. Petrosyan, A. P. Zhabko
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	274-276
Number of pages	3
ISBN (Electronic)	9781467376983
DOIs	https://doi.org/10.1109/SCP.2015.7342121 https://doi.org/10.1109/SCP.2015.7342121
State	Published - 30 Nov 2015
Event	International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Петергоф, St. Petersburg, Russian Federation Duration: 5 Oct 2015 → 9 Oct 2015 http://www.apmath.spbu.ru/scp2015/openconf.php

Publication series

Name	2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings

Conference

Conference	International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015
Abbreviated title	SCP 2015
Country/Territory	Russian Federation
City	St. Petersburg
Period	5/10/15 → 9/10/15
Internet address	http://www.apmath.spbu.ru/scp2015/openconf.php

Scopus subject areas

Computational Mechanics
Control and Systems Engineering

Research areas

Asymptotic stability, Circuit stability, Delays, Linear approximation, Stability criteria

ID: 3981403