Stability analysis of discrete-time fractional-order Caputo-type Lorenz system

Dorota Mozyrska , Małgorzata Wyrwas

Abstract

In this paper we study discrete-time fractional-order Lorenz systems. We use the Caputo-type h-difference operator with orders from the interval (0,1). Using conditions for asymptotic stability of linear systems with the Caputo fractional-order h-difference operators we made simulations with small steps h and checked wether there are unstable equilibrium points for the considered systems. We also investigate by numerical calculations in Maple that the generalised Lorenz systems have chaotic behaviour for step h = 0:01 and for order functions with values greater than 0.95645.
Author Dorota Mozyrska (FCS/DM)
Dorota Mozyrska,,
- Department of Mathematics
, Małgorzata Wyrwas (FCS/DM)
Małgorzata Wyrwas,,
- Department of Mathematics
Pages149-153
Publication size in sheets0.50
Book Telecommunications and Signal Processing: 42nd International Conference: TSP, 2019, Institute of Electrical and Electronics Engineers, [978-172811864-2], 763 p., DOI:10.1109/TSP.2019.8768861
Keywords in Englishdiscrete-time system, fractional-order, Lorenz system, stability , Z-transform
DOIDOI:10.1109/TSP.2019.8768861
Internal identifierROC 19-20
Languageen angielski
Score (nominal)0
Score sourceconferenceList
ScoreBUT score = 15.0, 14-05-2020, manual
Ministerial score = 0.0, 14-05-2020, ChapterFromConference
Citation count*
Cite
busy
Share Share

Get link to the record


* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Back
Confirmation
Are you sure?