Numerical Analysis of Exponential and BIBS Stability for Linear Discrete Time-Variant Systems using Bohl Exponents

Research output: Contribution to conferencePaper

Abstract

This work deals with the stability analysis of linear discrete-time time-variant systems, focusing on the most restrictive stability measures for free respectively forced systems, the exponential stability respectively BIBS (bounded-input bounded-state) stability. Additionally the connection of these stability concepts with the so-called Bohl exponent is in focus of this work. The Bohl exponent can be seen as a generalization of eigenvalues for the stability analysis of time-variant systems. The contribution of this work is the combination of the exponential and BIBS stability analysis with the numerical computation of the Bohl exponent, leading to a numerical stability analysis for linear discrete-time time-variant systems. This stability analysis is applied at a time-variant drivetrain control loop.

Original languageEnglish
Pages630-636
Number of pages7
DOIs
Publication statusPublished - 18 Sep 2020
Event28th Mediterranean Conference on Control and Automation: MED 2020 - Online, Saint-Raphael, Virtual, France
Duration: 15 Sep 202018 Sep 2020
http://med2020.cran.univ-lorraine.fr/

Conference

Conference28th Mediterranean Conference on Control and Automation
CountryFrance
CitySaint-Raphael, Virtual
Period15/09/2018/09/20
Internet address

ASJC Scopus subject areas

  • Control and Optimization
  • Control and Systems Engineering
  • Modelling and Simulation

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