Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems

DOI

https://doi.org/10.1109/SCP.2015.7342044
Final published version
https://doi.org/10.1109/SCP.2015.7342044
Other version

A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.

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	26-29
Number of pages	4
ISBN (Electronic)	9781467376983
DOIs	https://doi.org/10.1109/SCP.2015.7342044 https://doi.org/10.1109/SCP.2015.7342044
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

Research areas

Asymptotic stability, Lyapunov methods, Nonlinear systems, Stability criteria, Switched systems, Switches

Scopus subject areas

Computational Mechanics
Control and Systems Engineering

ID: 3981433