Discretization of asymptotically stable homogeneous systems by explicit and implicit euler methods

D. Efimov, A. Polyakov, A. Levant, W. Perruquetti

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit Euler method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.

Original languageEnglish
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5545-5550
Number of pages6
ISBN (Electronic)9781509018376
DOIs
StatePublished - 27 Dec 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference55th IEEE Conference on Decision and Control, CDC 2016
Country/TerritoryUnited States
CityLas Vegas
Period12/12/1614/12/16

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